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Finding the Fourth Proportional to 282,314.97, 389,595.32 and 154,998.76

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Solution

The fourth proportional to 282,314.97, 389,595.32 and 154,998.76 is: 213,898.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,314.97 : 389,595.32 = 154,998.76 : x
  2. Step 2: Convert to fraction form
    282,314.97/389,595.32 = 154,998.76/x
  3. Step 3: Cross multiply
    282,314.97x = 389,595.32 × 154,998.76
  4. Step 4: Simplify right side
    282,314.97x = 60,386,791,501.80
  5. Step 5: Solve for x
    x = 60,386,791,501.80/282,314.97
  6. Step 6: Final answer
    x = 213,898.65

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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.