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Finding the Fourth Proportional to 357,729.40, 537,630.90 and 312,110.20

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Solution

The fourth proportional to 357,729.40, 537,630.90 and 312,110.20 is: 469,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,729.40 : 537,630.90 = 312,110.20 : x
  2. Step 2: Convert to fraction form
    357,729.40/537,630.90 = 312,110.20/x
  3. Step 3: Cross multiply
    357,729.40x = 537,630.90 × 312,110.20
  4. Step 4: Simplify right side
    357,729.40x = 167,800,087,725.18
  5. Step 5: Solve for x
    x = 167,800,087,725.18/357,729.40
  6. Step 6: Final answer
    x = 469,069.88

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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.