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Finding the Fourth Proportional to 631,713.64, 871,824.93 and 345,276.78

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Solution

The fourth proportional to 631,713.64, 871,824.93 and 345,276.78 is: 476,514.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,713.64 : 871,824.93 = 345,276.78 : x
  2. Step 2: Convert to fraction form
    631,713.64/871,824.93 = 345,276.78/x
  3. Step 3: Cross multiply
    631,713.64x = 871,824.93 × 345,276.78
  4. Step 4: Simplify right side
    631,713.64x = 301,020,902,827.74
  5. Step 5: Solve for x
    x = 301,020,902,827.74/631,713.64
  6. Step 6: Final answer
    x = 476,514.81

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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.