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Finding the Fourth Proportional to 530,291.71, 731,881.37 and 312,430.73

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Solution

The fourth proportional to 530,291.71, 731,881.37 and 312,430.73 is: 431,200.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,291.71 : 731,881.37 = 312,430.73 : x
  2. Step 2: Convert to fraction form
    530,291.71/731,881.37 = 312,430.73/x
  3. Step 3: Cross multiply
    530,291.71x = 731,881.37 × 312,430.73
  4. Step 4: Simplify right side
    530,291.71x = 228,662,229,443.23
  5. Step 5: Solve for x
    x = 228,662,229,443.23/530,291.71
  6. Step 6: Final answer
    x = 431,200.84

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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.