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Finding the Fourth Proportional to 305,422.40, 459,008.40 and 266,931.20

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Solution

The fourth proportional to 305,422.40, 459,008.40 and 266,931.20 is: 401,161.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,422.40 : 459,008.40 = 266,931.20 : x
  2. Step 2: Convert to fraction form
    305,422.40/459,008.40 = 266,931.20/x
  3. Step 3: Cross multiply
    305,422.40x = 459,008.40 × 266,931.20
  4. Step 4: Simplify right side
    305,422.40x = 122,523,663,022.08
  5. Step 5: Solve for x
    x = 122,523,663,022.08/305,422.40
  6. Step 6: Final answer
    x = 401,161.35

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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.