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Finding the Fourth Proportional to 291,990.50, 402,947.85 and 157,855.46

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Solution

The fourth proportional to 291,990.50, 402,947.85 and 157,855.46 is: 217,841.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,990.50 : 402,947.85 = 157,855.46 : x
  2. Step 2: Convert to fraction form
    291,990.50/402,947.85 = 157,855.46/x
  3. Step 3: Cross multiply
    291,990.50x = 402,947.85 × 157,855.46
  4. Step 4: Simplify right side
    291,990.50x = 63,607,518,217.76
  5. Step 5: Solve for x
    x = 63,607,518,217.76/291,990.50
  6. Step 6: Final answer
    x = 217,841.05

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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.