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Finding the Fourth Proportional to 390,567.96, 538,987.68 and 229,474.80

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Solution

The fourth proportional to 390,567.96, 538,987.68 and 229,474.80 is: 316,677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,567.96 : 538,987.68 = 229,474.80 : x
  2. Step 2: Convert to fraction form
    390,567.96/538,987.68 = 229,474.80/x
  3. Step 3: Cross multiply
    390,567.96x = 538,987.68 × 229,474.80
  4. Step 4: Simplify right side
    390,567.96x = 123,684,090,070.46
  5. Step 5: Solve for x
    x = 123,684,090,070.46/390,567.96
  6. Step 6: Final answer
    x = 316,677.51

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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.