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Finding the Fourth Proportional to 390,289.65, 585,965.59 and 219,631.93

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Solution

The fourth proportional to 390,289.65, 585,965.59 and 219,631.93 is: 329,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,289.65 : 585,965.59 = 219,631.93 : x
  2. Step 2: Convert to fraction form
    390,289.65/585,965.59 = 219,631.93/x
  3. Step 3: Cross multiply
    390,289.65x = 585,965.59 × 219,631.93
  4. Step 4: Simplify right side
    390,289.65x = 128,696,753,445.29
  5. Step 5: Solve for x
    x = 128,696,753,445.29/390,289.65
  6. Step 6: Final answer
    x = 329,746.78

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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.