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Finding the Fourth Proportional to 282,971.59, 423,959.14 and 266,114.95

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Solution

The fourth proportional to 282,971.59, 423,959.14 and 266,114.95 is: 398,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,971.59 : 423,959.14 = 266,114.95 : x
  2. Step 2: Convert to fraction form
    282,971.59/423,959.14 = 266,114.95/x
  3. Step 3: Cross multiply
    282,971.59x = 423,959.14 × 266,114.95
  4. Step 4: Simplify right side
    282,971.59x = 112,821,864,615.89
  5. Step 5: Solve for x
    x = 112,821,864,615.89/282,971.59
  6. Step 6: Final answer
    x = 398,703.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.