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Finding the Fourth Proportional to 390,164.32, 585,246.48 and 109,681.56

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Solution

The fourth proportional to 390,164.32, 585,246.48 and 109,681.56 is: 164,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,164.32 : 585,246.48 = 109,681.56 : x
  2. Step 2: Convert to fraction form
    390,164.32/585,246.48 = 109,681.56/x
  3. Step 3: Cross multiply
    390,164.32x = 585,246.48 × 109,681.56
  4. Step 4: Simplify right side
    390,164.32x = 64,190,746,910.91
  5. Step 5: Solve for x
    x = 64,190,746,910.91/390,164.32
  6. Step 6: Final answer
    x = 164,522.34

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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.