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Finding the Fourth Proportional to 390,159.31, 585,277.91 and 105,854.32

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Solution

The fourth proportional to 390,159.31, 585,277.91 and 105,854.32 is: 158,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,159.31 : 585,277.91 = 105,854.32 : x
  2. Step 2: Convert to fraction form
    390,159.31/585,277.91 = 105,854.32/x
  3. Step 3: Cross multiply
    390,159.31x = 585,277.91 × 105,854.32
  4. Step 4: Simplify right side
    390,159.31x = 61,954,194,644.80
  5. Step 5: Solve for x
    x = 61,954,194,644.80/390,159.31
  6. Step 6: Final answer
    x = 158,792.04

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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.