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Finding the Fourth Proportional to 390,705.60, 585,943.20 and 153,969.60

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Solution

The fourth proportional to 390,705.60, 585,943.20 and 153,969.60 is: 230,909.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,705.60 : 585,943.20 = 153,969.60 : x
  2. Step 2: Convert to fraction form
    390,705.60/585,943.20 = 153,969.60/x
  3. Step 3: Cross multiply
    390,705.60x = 585,943.20 × 153,969.60
  4. Step 4: Simplify right side
    390,705.60x = 90,217,440,126.72
  5. Step 5: Solve for x
    x = 90,217,440,126.72/390,705.60
  6. Step 6: Final answer
    x = 230,909.00

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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.