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Finding the Fourth Proportional to 530,440.66, 732,023.67 and 288,739

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Solution

The fourth proportional to 530,440.66, 732,023.67 and 288,739 is: 398,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,440.66 : 732,023.67 = 288,739 : x
  2. Step 2: Convert to fraction form
    530,440.66/732,023.67 = 288,739/x
  3. Step 3: Cross multiply
    530,440.66x = 732,023.67 × 288,739
  4. Step 4: Simplify right side
    530,440.66x = 211,363,782,452.13
  5. Step 5: Solve for x
    x = 211,363,782,452.13/530,440.66
  6. Step 6: Final answer
    x = 398,468.29

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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.