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Finding the Fourth Proportional to 530,438.47, 732,021.50 and 288,737.30

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Solution

The fourth proportional to 530,438.47, 732,021.50 and 288,737.30 is: 398,466.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,438.47 : 732,021.50 = 288,737.30 : x
  2. Step 2: Convert to fraction form
    530,438.47/732,021.50 = 288,737.30/x
  3. Step 3: Cross multiply
    530,438.47x = 732,021.50 × 288,737.30
  4. Step 4: Simplify right side
    530,438.47x = 211,361,911,451.95
  5. Step 5: Solve for x
    x = 211,361,911,451.95/530,438.47
  6. Step 6: Final answer
    x = 398,466.41

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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.