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Finding the Fourth Proportional to 256,952.13, 385,206.71 and 99,291.21

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Solution

The fourth proportional to 256,952.13, 385,206.71 and 99,291.21 is: 148,851.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,952.13 : 385,206.71 = 99,291.21 : x
  2. Step 2: Convert to fraction form
    256,952.13/385,206.71 = 99,291.21/x
  3. Step 3: Cross multiply
    256,952.13x = 385,206.71 × 99,291.21
  4. Step 4: Simplify right side
    256,952.13x = 38,247,639,839.56
  5. Step 5: Solve for x
    x = 38,247,639,839.56/256,952.13
  6. Step 6: Final answer
    x = 148,851.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.