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Finding the Fourth Proportional to 510,214.92, 704,103.06 and 280,798.62

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Solution

The fourth proportional to 510,214.92, 704,103.06 and 280,798.62 is: 387,505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,214.92 : 704,103.06 = 280,798.62 : x
  2. Step 2: Convert to fraction form
    510,214.92/704,103.06 = 280,798.62/x
  3. Step 3: Cross multiply
    510,214.92x = 704,103.06 × 280,798.62
  4. Step 4: Simplify right side
    510,214.92x = 197,711,167,585.78
  5. Step 5: Solve for x
    x = 197,711,167,585.78/510,214.92
  6. Step 6: Final answer
    x = 387,505.66

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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.