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Finding the Fourth Proportional to 291,951.53, 402,898.35 and 171,127.07

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Solution

The fourth proportional to 291,951.53, 402,898.35 and 171,127.07 is: 236,158.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,951.53 : 402,898.35 = 171,127.07 : x
  2. Step 2: Convert to fraction form
    291,951.53/402,898.35 = 171,127.07/x
  3. Step 3: Cross multiply
    291,951.53x = 402,898.35 × 171,127.07
  4. Step 4: Simplify right side
    291,951.53x = 68,946,812,128.84
  5. Step 5: Solve for x
    x = 68,946,812,128.84/291,951.53
  6. Step 6: Final answer
    x = 236,158.42

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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.