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Finding the Fourth Proportional to 357,478.20, 536,411.70 and 147,137.40

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Solution

The fourth proportional to 357,478.20, 536,411.70 and 147,137.40 is: 220,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,478.20 : 536,411.70 = 147,137.40 : x
  2. Step 2: Convert to fraction form
    357,478.20/536,411.70 = 147,137.40/x
  3. Step 3: Cross multiply
    357,478.20x = 536,411.70 × 147,137.40
  4. Step 4: Simplify right side
    357,478.20x = 78,926,222,867.58
  5. Step 5: Solve for x
    x = 78,926,222,867.58/357,478.20
  6. Step 6: Final answer
    x = 220,786.11

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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.