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Finding the Fourth Proportional to 390,254.49, 585,420.75 and 105,949.62

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Solution

The fourth proportional to 390,254.49, 585,420.75 and 105,949.62 is: 158,935.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,254.49 : 585,420.75 = 105,949.62 : x
  2. Step 2: Convert to fraction form
    390,254.49/585,420.75 = 105,949.62/x
  3. Step 3: Cross multiply
    390,254.49x = 585,420.75 × 105,949.62
  4. Step 4: Simplify right side
    390,254.49x = 62,025,106,002.62
  5. Step 5: Solve for x
    x = 62,025,106,002.62/390,254.49
  6. Step 6: Final answer
    x = 158,935.02

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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.