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Finding the Fourth Proportional to 291,990, 402,947.16 and 157,854.96

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Solution

The fourth proportional to 291,990, 402,947.16 and 157,854.96 is: 217,840.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,990 : 402,947.16 = 157,854.96 : x
  2. Step 2: Convert to fraction form
    291,990/402,947.16 = 157,854.96/x
  3. Step 3: Cross multiply
    291,990x = 402,947.16 × 157,854.96
  4. Step 4: Simplify right side
    291,990x = 63,607,207,823.91
  5. Step 5: Solve for x
    x = 63,607,207,823.91/291,990
  6. Step 6: Final answer
    x = 217,840.36

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1.5x scale

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.