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Finding the Fourth Proportional to 631,657.80, 871,776.66 and 402,141.78

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Solution

The fourth proportional to 631,657.80, 871,776.66 and 402,141.78 is: 555,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,657.80 : 871,776.66 = 402,141.78 : x
  2. Step 2: Convert to fraction form
    631,657.80/871,776.66 = 402,141.78/x
  3. Step 3: Cross multiply
    631,657.80x = 871,776.66 × 402,141.78
  4. Step 4: Simplify right side
    631,657.80x = 350,577,817,814.86
  5. Step 5: Solve for x
    x = 350,577,817,814.86/631,657.80
  6. Step 6: Final answer
    x = 555,012.25

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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.