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Finding the Fourth Proportional to 510,728.68, 704,800.74 and 284,360.68

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Solution

The fourth proportional to 510,728.68, 704,800.74 and 284,360.68 is: 392,415.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,728.68 : 704,800.74 = 284,360.68 : x
  2. Step 2: Convert to fraction form
    510,728.68/704,800.74 = 284,360.68/x
  3. Step 3: Cross multiply
    510,728.68x = 704,800.74 × 284,360.68
  4. Step 4: Simplify right side
    510,728.68x = 200,417,617,690.90
  5. Step 5: Solve for x
    x = 200,417,617,690.90/510,728.68
  6. Step 6: Final answer
    x = 392,415.04

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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.