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Finding the Fourth Proportional to 316,868.47, 475,303.05 and 80,211.15

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Solution

The fourth proportional to 316,868.47, 475,303.05 and 80,211.15 is: 120,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,868.47 : 475,303.05 = 80,211.15 : x
  2. Step 2: Convert to fraction form
    316,868.47/475,303.05 = 80,211.15/x
  3. Step 3: Cross multiply
    316,868.47x = 475,303.05 × 80,211.15
  4. Step 4: Simplify right side
    316,868.47x = 38,124,604,239.01
  5. Step 5: Solve for x
    x = 38,124,604,239.01/316,868.47
  6. Step 6: Final answer
    x = 120,316.81

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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.