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Finding the Fourth Proportional to 457,756, 631,740.48 and 253,827.20

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Solution

The fourth proportional to 457,756, 631,740.48 and 253,827.20 is: 350,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,756 : 631,740.48 = 253,827.20 : x
  2. Step 2: Convert to fraction form
    457,756/631,740.48 = 253,827.20/x
  3. Step 3: Cross multiply
    457,756x = 631,740.48 × 253,827.20
  4. Step 4: Simplify right side
    457,756x = 160,352,917,165.06
  5. Step 5: Solve for x
    x = 160,352,917,165.06/457,756
  6. Step 6: Final answer
    x = 350,302.16

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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.