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Finding the Fourth Proportional to 480,172.32, 662,775.89 and 316,947.96

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Solution

The fourth proportional to 480,172.32, 662,775.89 and 316,947.96 is: 437,479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,172.32 : 662,775.89 = 316,947.96 : x
  2. Step 2: Convert to fraction form
    480,172.32/662,775.89 = 316,947.96/x
  3. Step 3: Cross multiply
    480,172.32x = 662,775.89 × 316,947.96
  4. Step 4: Simplify right side
    480,172.32x = 210,065,464,687.95
  5. Step 5: Solve for x
    x = 210,065,464,687.95/480,172.32
  6. Step 6: Final answer
    x = 437,479.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.