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Finding the Fourth Proportional to 475,402.81, 712,953.66 and 155,480.76

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Solution

The fourth proportional to 475,402.81, 712,953.66 and 155,480.76 is: 233,171.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,402.81 : 712,953.66 = 155,480.76 : x
  2. Step 2: Convert to fraction form
    475,402.81/712,953.66 = 155,480.76/x
  3. Step 3: Cross multiply
    475,402.81x = 712,953.66 × 155,480.76
  4. Step 4: Simplify right side
    475,402.81x = 110,850,576,901.58
  5. Step 5: Solve for x
    x = 110,850,576,901.58/475,402.81
  6. Step 6: Final answer
    x = 233,171.90

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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.