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Finding the Fourth Proportional to 282,041.52, 389,214.96 and 154,714.80

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Solution

The fourth proportional to 282,041.52, 389,214.96 and 154,714.80 is: 213,505.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,041.52 : 389,214.96 = 154,714.80 : x
  2. Step 2: Convert to fraction form
    282,041.52/389,214.96 = 154,714.80/x
  3. Step 3: Cross multiply
    282,041.52x = 389,214.96 × 154,714.80
  4. Step 4: Simplify right side
    282,041.52x = 60,217,314,693.41
  5. Step 5: Solve for x
    x = 60,217,314,693.41/282,041.52
  6. Step 6: Final answer
    x = 213,505.14

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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.