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Finding the Fourth Proportional to 457,470.12, 631,308.84 and 256,266.12

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Solution

The fourth proportional to 457,470.12, 631,308.84 and 256,266.12 is: 353,647.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,470.12 : 631,308.84 = 256,266.12 : x
  2. Step 2: Convert to fraction form
    457,470.12/631,308.84 = 256,266.12/x
  3. Step 3: Cross multiply
    457,470.12x = 631,308.84 × 256,266.12
  4. Step 4: Simplify right side
    457,470.12x = 161,783,066,948.50
  5. Step 5: Solve for x
    x = 161,783,066,948.50/457,470.12
  6. Step 6: Final answer
    x = 353,647.29

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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.