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Finding the Fourth Proportional to 475,400.81, 712,950.66 and 155,478.76

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Solution

The fourth proportional to 475,400.81, 712,950.66 and 155,478.76 is: 233,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,400.81 : 712,950.66 = 155,478.76 : x
  2. Step 2: Convert to fraction form
    475,400.81/712,950.66 = 155,478.76/x
  3. Step 3: Cross multiply
    475,400.81x = 712,950.66 × 155,478.76
  4. Step 4: Simplify right side
    475,400.81x = 110,848,682,775.61
  5. Step 5: Solve for x
    x = 110,848,682,775.61/475,400.81
  6. Step 6: Final answer
    x = 233,168.90

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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.