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Finding the Fourth Proportional to 514,948.92, 710,590.32 and 288,550.68

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Solution

The fourth proportional to 514,948.92, 710,590.32 and 288,550.68 is: 398,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,948.92 : 710,590.32 = 288,550.68 : x
  2. Step 2: Convert to fraction form
    514,948.92/710,590.32 = 288,550.68/x
  3. Step 3: Cross multiply
    514,948.92x = 710,590.32 × 288,550.68
  4. Step 4: Simplify right side
    514,948.92x = 205,041,320,037.42
  5. Step 5: Solve for x
    x = 205,041,320,037.42/514,948.92
  6. Step 6: Final answer
    x = 398,177.98

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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.