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Finding the Fourth Proportional to 493,654.80, 740,827.80 and 213,373.20

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Solution

The fourth proportional to 493,654.80, 740,827.80 and 213,373.20 is: 320,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,654.80 : 740,827.80 = 213,373.20 : x
  2. Step 2: Convert to fraction form
    493,654.80/740,827.80 = 213,373.20/x
  3. Step 3: Cross multiply
    493,654.80x = 740,827.80 × 213,373.20
  4. Step 4: Simplify right side
    493,654.80x = 158,072,798,334.96
  5. Step 5: Solve for x
    x = 158,072,798,334.96/493,654.80
  6. Step 6: Final answer
    x = 320,209.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.