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Finding the Fourth Proportional to 877,375.32, 1,316,062.98 and 316,409.82

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Solution

The fourth proportional to 877,375.32, 1,316,062.98 and 316,409.82 is: 474,614.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,375.32 : 1,316,062.98 = 316,409.82 : x
  2. Step 2: Convert to fraction form
    877,375.32/1,316,062.98 = 316,409.82/x
  3. Step 3: Cross multiply
    877,375.32x = 1,316,062.98 × 316,409.82
  4. Step 4: Simplify right side
    877,375.32x = 416,415,250,610.46
  5. Step 5: Solve for x
    x = 416,415,250,610.46/877,375.32
  6. Step 6: Final answer
    x = 474,614.73

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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.