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Finding the Fourth Proportional to 510,276.95, 704,155.93 and 280,856.02

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Solution

The fourth proportional to 510,276.95, 704,155.93 and 280,856.02 is: 387,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,276.95 : 704,155.93 = 280,856.02 : x
  2. Step 2: Convert to fraction form
    510,276.95/704,155.93 = 280,856.02/x
  3. Step 3: Cross multiply
    510,276.95x = 704,155.93 × 280,856.02
  4. Step 4: Simplify right side
    510,276.95x = 197,766,431,959.20
  5. Step 5: Solve for x
    x = 197,766,431,959.20/510,276.95
  6. Step 6: Final answer
    x = 387,566.85

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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.