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Finding the Fourth Proportional to 256,952.40, 385,428.60 and 209,713.20

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Solution

The fourth proportional to 256,952.40, 385,428.60 and 209,713.20 is: 314,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,952.40 : 385,428.60 = 209,713.20 : x
  2. Step 2: Convert to fraction form
    256,952.40/385,428.60 = 209,713.20/x
  3. Step 3: Cross multiply
    256,952.40x = 385,428.60 × 209,713.20
  4. Step 4: Simplify right side
    256,952.40x = 80,829,465,077.52
  5. Step 5: Solve for x
    x = 80,829,465,077.52/256,952.40
  6. Step 6: Final answer
    x = 314,569.80

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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.