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Finding the Fourth Proportional to 377,707.25, 521,273.65 and 282,047.87

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Solution

The fourth proportional to 377,707.25, 521,273.65 and 282,047.87 is: 389,254.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,707.25 : 521,273.65 = 282,047.87 : x
  2. Step 2: Convert to fraction form
    377,707.25/521,273.65 = 282,047.87/x
  3. Step 3: Cross multiply
    377,707.25x = 521,273.65 × 282,047.87
  4. Step 4: Simplify right side
    377,707.25x = 147,024,120,063.26
  5. Step 5: Solve for x
    x = 147,024,120,063.26/377,707.25
  6. Step 6: Final answer
    x = 389,254.17

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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.