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Finding the Fourth Proportional to 530,646.64, 732,306.30 and 288,939.40

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Solution

The fourth proportional to 530,646.64, 732,306.30 and 288,939.40 is: 398,743.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,646.64 : 732,306.30 = 288,939.40 : x
  2. Step 2: Convert to fraction form
    530,646.64/732,306.30 = 288,939.40/x
  3. Step 3: Cross multiply
    530,646.64x = 732,306.30 × 288,939.40
  4. Step 4: Simplify right side
    530,646.64x = 211,592,142,938.22
  5. Step 5: Solve for x
    x = 211,592,142,938.22/530,646.64
  6. Step 6: Final answer
    x = 398,743.96

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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.