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Finding the Fourth Proportional to 282,142.68, 389,328.54 and 168,962.52

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Solution

The fourth proportional to 282,142.68, 389,328.54 and 168,962.52 is: 233,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,142.68 : 389,328.54 = 168,962.52 : x
  2. Step 2: Convert to fraction form
    282,142.68/389,328.54 = 168,962.52/x
  3. Step 3: Cross multiply
    282,142.68x = 389,328.54 × 168,962.52
  4. Step 4: Simplify right side
    282,142.68x = 65,781,931,226.32
  5. Step 5: Solve for x
    x = 65,781,931,226.32/282,142.68
  6. Step 6: Final answer
    x = 233,151.30

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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.