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Finding the Fourth Proportional to 514,943, 710,665.08 and 288,632.24

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Solution

The fourth proportional to 514,943, 710,665.08 and 288,632.24 is: 398,337.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,943 : 710,665.08 = 288,632.24 : x
  2. Step 2: Convert to fraction form
    514,943/710,665.08 = 288,632.24/x
  3. Step 3: Cross multiply
    514,943x = 710,665.08 × 288,632.24
  4. Step 4: Simplify right side
    514,943x = 205,120,853,930.18
  5. Step 5: Solve for x
    x = 205,120,853,930.18/514,943
  6. Step 6: Final answer
    x = 398,337.01

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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.