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Finding the Fourth Proportional to 712,147.16, 982,774.64 and 389,851.80

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Solution

The fourth proportional to 712,147.16, 982,774.64 and 389,851.80 is: 538,001.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,147.16 : 982,774.64 = 389,851.80 : x
  2. Step 2: Convert to fraction form
    712,147.16/982,774.64 = 389,851.80/x
  3. Step 3: Cross multiply
    712,147.16x = 982,774.64 × 389,851.80
  4. Step 4: Simplify right side
    712,147.16x = 383,136,462,398.35
  5. Step 5: Solve for x
    x = 383,136,462,398.35/712,147.16
  6. Step 6: Final answer
    x = 538,001.81

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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.