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Finding the Fourth Proportional to 530,475.28, 732,065.20 and 288,764.80

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Solution

The fourth proportional to 530,475.28, 732,065.20 and 288,764.80 is: 398,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,475.28 : 732,065.20 = 288,764.80 : x
  2. Step 2: Convert to fraction form
    530,475.28/732,065.20 = 288,764.80/x
  3. Step 3: Cross multiply
    530,475.28x = 732,065.20 × 288,764.80
  4. Step 4: Simplify right side
    530,475.28x = 211,394,661,064.96
  5. Step 5: Solve for x
    x = 211,394,661,064.96/530,475.28
  6. Step 6: Final answer
    x = 398,500.49

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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.