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Finding the Fourth Proportional to 390,257.28, 585,388.80 and 109,802.88

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Solution

The fourth proportional to 390,257.28, 585,388.80 and 109,802.88 is: 164,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,257.28 : 585,388.80 = 109,802.88 : x
  2. Step 2: Convert to fraction form
    390,257.28/585,388.80 = 109,802.88/x
  3. Step 3: Cross multiply
    390,257.28x = 585,388.80 × 109,802.88
  4. Step 4: Simplify right side
    390,257.28x = 64,277,376,159.74
  5. Step 5: Solve for x
    x = 64,277,376,159.74/390,257.28
  6. Step 6: Final answer
    x = 164,705.13

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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.