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Finding the Fourth Proportional to 390,594.76, 539,015.92 and 229,464.50

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Solution

The fourth proportional to 390,594.76, 539,015.92 and 229,464.50 is: 316,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,594.76 : 539,015.92 = 229,464.50 : x
  2. Step 2: Convert to fraction form
    390,594.76/539,015.92 = 229,464.50/x
  3. Step 3: Cross multiply
    390,594.76x = 539,015.92 × 229,464.50
  4. Step 4: Simplify right side
    390,594.76x = 123,685,015,306.10
  5. Step 5: Solve for x
    x = 123,685,015,306.10/390,594.76
  6. Step 6: Final answer
    x = 316,658.16

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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.