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Finding the Fourth Proportional to 291,954.90, 402,897.87 and 157,818.90

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Solution

The fourth proportional to 291,954.90, 402,897.87 and 157,818.90 is: 217,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,954.90 : 402,897.87 = 157,818.90 : x
  2. Step 2: Convert to fraction form
    291,954.90/402,897.87 = 157,818.90/x
  3. Step 3: Cross multiply
    291,954.90x = 402,897.87 × 157,818.90
  4. Step 4: Simplify right side
    291,954.90x = 63,584,898,655.74
  5. Step 5: Solve for x
    x = 63,584,898,655.74/291,954.90
  6. Step 6: Final answer
    x = 217,790.14

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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.