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Finding the Fourth Proportional to 707,034, 975,707.08 and 389,082

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Solution

The fourth proportional to 707,034, 975,707.08 and 389,082 is: 536,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,034 : 975,707.08 = 389,082 : x
  2. Step 2: Convert to fraction form
    707,034/975,707.08 = 389,082/x
  3. Step 3: Cross multiply
    707,034x = 975,707.08 × 389,082
  4. Step 4: Simplify right side
    707,034x = 379,630,062,100.56
  5. Step 5: Solve for x
    x = 379,630,062,100.56/707,034
  6. Step 6: Final answer
    x = 536,933.25

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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.