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Finding the Fourth Proportional to 408,152.79, 612,242.96 and 155,395.40

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Solution

The fourth proportional to 408,152.79, 612,242.96 and 155,395.40 is: 233,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,152.79 : 612,242.96 = 155,395.40 : x
  2. Step 2: Convert to fraction form
    408,152.79/612,242.96 = 155,395.40/x
  3. Step 3: Cross multiply
    408,152.79x = 612,242.96 × 155,395.40
  4. Step 4: Simplify right side
    408,152.79x = 95,139,735,828.19
  5. Step 5: Solve for x
    x = 95,139,735,828.19/408,152.79
  6. Step 6: Final answer
    x = 233,098.34

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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.