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Finding the Fourth Proportional to 706,034, 974,326.92 and 388,082

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Solution

The fourth proportional to 706,034, 974,326.92 and 388,082 is: 535,553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,034 : 974,326.92 = 388,082 : x
  2. Step 2: Convert to fraction form
    706,034/974,326.92 = 388,082/x
  3. Step 3: Cross multiply
    706,034x = 974,326.92 × 388,082
  4. Step 4: Simplify right side
    706,034x = 378,118,739,767.44
  5. Step 5: Solve for x
    x = 378,118,739,767.44/706,034
  6. Step 6: Final answer
    x = 535,553.16

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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.