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Finding the Fourth Proportional to 1,005,978,955.71, 1,388,251,022.90 and 559,932,716.82

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Solution

The fourth proportional to 1,005,978,955.71, 1,388,251,022.90 and 559,932,716.82 is: 772,707,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005,978,955.71 : 1,388,251,022.90 = 559,932,716.82 : x
  2. Step 2: Convert to fraction form
    1,005,978,955.71/1,388,251,022.90 = 559,932,716.82/x
  3. Step 3: Cross multiply
    1,005,978,955.71x = 1,388,251,022.90 × 559,932,716.82
  4. Step 4: Simplify right side
    1,005,978,955.71x = 777,327,166,877,741,440
  5. Step 5: Solve for x
    x = 777,327,166,877,741,440/1,005,978,955.71
  6. Step 6: Final answer
    x = 772,707,184.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.