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Finding the Fourth Proportional to 390,212.91, 585,319.23 and 109,730.16

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Solution

The fourth proportional to 390,212.91, 585,319.23 and 109,730.16 is: 164,595.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,212.91 : 585,319.23 = 109,730.16 : x
  2. Step 2: Convert to fraction form
    390,212.91/585,319.23 = 109,730.16/x
  3. Step 3: Cross multiply
    390,212.91x = 585,319.23 × 109,730.16
  4. Step 4: Simplify right side
    390,212.91x = 64,227,172,758.98
  5. Step 5: Solve for x
    x = 64,227,172,758.98/390,212.91
  6. Step 6: Final answer
    x = 164,595.20

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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.