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Finding the Fourth Proportional to 291,448.98, 402,220.17 and 162,396

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Solution

The fourth proportional to 291,448.98, 402,220.17 and 162,396 is: 224,117.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,448.98 : 402,220.17 = 162,396 : x
  2. Step 2: Convert to fraction form
    291,448.98/402,220.17 = 162,396/x
  3. Step 3: Cross multiply
    291,448.98x = 402,220.17 × 162,396
  4. Step 4: Simplify right side
    291,448.98x = 65,318,946,727.32
  5. Step 5: Solve for x
    x = 65,318,946,727.32/291,448.98
  6. Step 6: Final answer
    x = 224,117.95

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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.