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Finding the Fourth Proportional to 472,689.52, 652,313.59 and 257,834.20

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Solution

The fourth proportional to 472,689.52, 652,313.59 and 257,834.20 is: 355,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,689.52 : 652,313.59 = 257,834.20 : x
  2. Step 2: Convert to fraction form
    472,689.52/652,313.59 = 257,834.20/x
  3. Step 3: Cross multiply
    472,689.52x = 652,313.59 × 257,834.20
  4. Step 4: Simplify right side
    472,689.52x = 168,188,752,626.78
  5. Step 5: Solve for x
    x = 168,188,752,626.78/472,689.52
  6. Step 6: Final answer
    x = 355,812.32

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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.