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Finding the Fourth Proportional to 438,528.60, 658,052.10 and 158,009.40

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Solution

The fourth proportional to 438,528.60, 658,052.10 and 158,009.40 is: 237,107.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,528.60 : 658,052.10 = 158,009.40 : x
  2. Step 2: Convert to fraction form
    438,528.60/658,052.10 = 158,009.40/x
  3. Step 3: Cross multiply
    438,528.60x = 658,052.10 × 158,009.40
  4. Step 4: Simplify right side
    438,528.60x = 103,978,417,489.74
  5. Step 5: Solve for x
    x = 103,978,417,489.74/438,528.60
  6. Step 6: Final answer
    x = 237,107.49

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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.