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Finding the Fourth Proportional to 530,532.48, 732,112.32 and 288,810

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Solution

The fourth proportional to 530,532.48, 732,112.32 and 288,810 is: 398,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,532.48 : 732,112.32 = 288,810 : x
  2. Step 2: Convert to fraction form
    530,532.48/732,112.32 = 288,810/x
  3. Step 3: Cross multiply
    530,532.48x = 732,112.32 × 288,810
  4. Step 4: Simplify right side
    530,532.48x = 211,441,359,139.20
  5. Step 5: Solve for x
    x = 211,441,359,139.20/530,532.48
  6. Step 6: Final answer
    x = 398,545.55

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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.