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Finding the Fourth Proportional to 559,977.84, 772,785.36 and 305,343

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Solution

The fourth proportional to 559,977.84, 772,785.36 and 305,343 is: 421,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,977.84 : 772,785.36 = 305,343 : x
  2. Step 2: Convert to fraction form
    559,977.84/772,785.36 = 305,343/x
  3. Step 3: Cross multiply
    559,977.84x = 772,785.36 × 305,343
  4. Step 4: Simplify right side
    559,977.84x = 235,964,600,178.48
  5. Step 5: Solve for x
    x = 235,964,600,178.48/559,977.84
  6. Step 6: Final answer
    x = 421,382.03

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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.