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Finding the Fourth Proportional to 530,402.54, 731,973.46 and 288,693.88

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Solution

The fourth proportional to 530,402.54, 731,973.46 and 288,693.88 is: 398,407.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,402.54 : 731,973.46 = 288,693.88 : x
  2. Step 2: Convert to fraction form
    530,402.54/731,973.46 = 288,693.88/x
  3. Step 3: Cross multiply
    530,402.54x = 731,973.46 × 288,693.88
  4. Step 4: Simplify right side
    530,402.54x = 211,316,258,224.43
  5. Step 5: Solve for x
    x = 211,316,258,224.43/530,402.54
  6. Step 6: Final answer
    x = 398,407.33

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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.