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Finding the Fourth Proportional to 256,941.90, 385,523.11 and 99,281.07

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Solution

The fourth proportional to 256,941.90, 385,523.11 and 99,281.07 is: 148,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,941.90 : 385,523.11 = 99,281.07 : x
  2. Step 2: Convert to fraction form
    256,941.90/385,523.11 = 99,281.07/x
  3. Step 3: Cross multiply
    256,941.90x = 385,523.11 × 99,281.07
  4. Step 4: Simplify right side
    256,941.90x = 38,275,146,870.53
  5. Step 5: Solve for x
    x = 38,275,146,870.53/256,941.90
  6. Step 6: Final answer
    x = 148,964.21

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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.