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Finding the Fourth Proportional to 712,082.34, 982,674.90 and 389,812.16

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Solution

The fourth proportional to 712,082.34, 982,674.90 and 389,812.16 is: 537,941.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,082.34 : 982,674.90 = 389,812.16 : x
  2. Step 2: Convert to fraction form
    712,082.34/982,674.90 = 389,812.16/x
  3. Step 3: Cross multiply
    712,082.34x = 982,674.90 × 389,812.16
  4. Step 4: Simplify right side
    712,082.34x = 383,058,627,803.47
  5. Step 5: Solve for x
    x = 383,058,627,803.47/712,082.34
  6. Step 6: Final answer
    x = 537,941.48

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Double scale
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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.