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Finding the Fourth Proportional to 291,634.74, 402,455.85 and 157,498.74

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Solution

The fourth proportional to 291,634.74, 402,455.85 and 157,498.74 is: 217,348.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,634.74 : 402,455.85 = 157,498.74 : x
  2. Step 2: Convert to fraction form
    291,634.74/402,455.85 = 157,498.74/x
  3. Step 3: Cross multiply
    291,634.74x = 402,455.85 × 157,498.74
  4. Step 4: Simplify right side
    291,634.74x = 63,386,289,280.63
  5. Step 5: Solve for x
    x = 63,386,289,280.63/291,634.74
  6. Step 6: Final answer
    x = 217,348.21

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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.