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Finding the Fourth Proportional to 530,469.26, 732,056.92 and 288,758.78

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Solution

The fourth proportional to 530,469.26, 732,056.92 and 288,758.78 is: 398,492.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,469.26 : 732,056.92 = 288,758.78 : x
  2. Step 2: Convert to fraction form
    530,469.26/732,056.92 = 288,758.78/x
  3. Step 3: Cross multiply
    530,469.26x = 732,056.92 × 288,758.78
  4. Step 4: Simplify right side
    530,469.26x = 211,387,863,109.76
  5. Step 5: Solve for x
    x = 211,387,863,109.76/530,469.26
  6. Step 6: Final answer
    x = 398,492.20

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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.