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Finding the Fourth Proportional to 342,277.20, 513,406.20 and 155,288.40

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Solution

The fourth proportional to 342,277.20, 513,406.20 and 155,288.40 is: 232,928.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,277.20 : 513,406.20 = 155,288.40 : x
  2. Step 2: Convert to fraction form
    342,277.20/513,406.20 = 155,288.40/x
  3. Step 3: Cross multiply
    342,277.20x = 513,406.20 × 155,288.40
  4. Step 4: Simplify right side
    342,277.20x = 79,726,027,348.08
  5. Step 5: Solve for x
    x = 79,726,027,348.08/342,277.20
  6. Step 6: Final answer
    x = 232,928.24

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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.