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Finding the Fourth Proportional to 457,446.80, 631,290.42 and 253,478.64

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Solution

The fourth proportional to 457,446.80, 631,290.42 and 253,478.64 is: 349,808.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,446.80 : 631,290.42 = 253,478.64 : x
  2. Step 2: Convert to fraction form
    457,446.80/631,290.42 = 253,478.64/x
  3. Step 3: Cross multiply
    457,446.80x = 631,290.42 × 253,478.64
  4. Step 4: Simplify right side
    457,446.80x = 160,018,637,106.63
  5. Step 5: Solve for x
    x = 160,018,637,106.63/457,446.80
  6. Step 6: Final answer
    x = 349,808.19

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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.