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Finding the Fourth Proportional to 492,078.40, 738,146.76 and 155,129.74

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Solution

The fourth proportional to 492,078.40, 738,146.76 and 155,129.74 is: 232,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,078.40 : 738,146.76 = 155,129.74 : x
  2. Step 2: Convert to fraction form
    492,078.40/738,146.76 = 155,129.74/x
  3. Step 3: Cross multiply
    492,078.40x = 738,146.76 × 155,129.74
  4. Step 4: Simplify right side
    492,078.40x = 114,508,514,960.64
  5. Step 5: Solve for x
    x = 114,508,514,960.64/492,078.40
  6. Step 6: Final answer
    x = 232,703.80

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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.