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Finding the Fourth Proportional to 390,236.40, 584,999.64 and 150,197.18

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Solution

The fourth proportional to 390,236.40, 584,999.64 and 150,197.18 is: 225,159.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,236.40 : 584,999.64 = 150,197.18 : x
  2. Step 2: Convert to fraction form
    390,236.40/584,999.64 = 150,197.18/x
  3. Step 3: Cross multiply
    390,236.40x = 584,999.64 × 150,197.18
  4. Step 4: Simplify right side
    390,236.40x = 87,865,293,304.02
  5. Step 5: Solve for x
    x = 87,865,293,304.02/390,236.40
  6. Step 6: Final answer
    x = 225,159.14

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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.