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Finding the Fourth Proportional to 282,502.47, 389,856.29 and 153,442.20

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Solution

The fourth proportional to 282,502.47, 389,856.29 and 153,442.20 is: 211,751.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,502.47 : 389,856.29 = 153,442.20 : x
  2. Step 2: Convert to fraction form
    282,502.47/389,856.29 = 153,442.20/x
  3. Step 3: Cross multiply
    282,502.47x = 389,856.29 × 153,442.20
  4. Step 4: Simplify right side
    282,502.47x = 59,820,406,419.72
  5. Step 5: Solve for x
    x = 59,820,406,419.72/282,502.47
  6. Step 6: Final answer
    x = 211,751.80

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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.