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Finding the Fourth Proportional to 563,170.77, 777,171.65 and 305,041.91

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Solution

The fourth proportional to 563,170.77, 777,171.65 and 305,041.91 is: 420,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,170.77 : 777,171.65 = 305,041.91 : x
  2. Step 2: Convert to fraction form
    563,170.77/777,171.65 = 305,041.91/x
  3. Step 3: Cross multiply
    563,170.77x = 777,171.65 × 305,041.91
  4. Step 4: Simplify right side
    563,170.77x = 237,069,919,102.78
  5. Step 5: Solve for x
    x = 237,069,919,102.78/563,170.77
  6. Step 6: Final answer
    x = 420,955.65

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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.