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Finding the Fourth Proportional to 398,777.40, 596,999.70 and 265,807.80

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Solution

The fourth proportional to 398,777.40, 596,999.70 and 265,807.80 is: 397,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,777.40 : 596,999.70 = 265,807.80 : x
  2. Step 2: Convert to fraction form
    398,777.40/596,999.70 = 265,807.80/x
  3. Step 3: Cross multiply
    398,777.40x = 596,999.70 × 265,807.80
  4. Step 4: Simplify right side
    398,777.40x = 158,687,176,857.66
  5. Step 5: Solve for x
    x = 158,687,176,857.66/398,777.40
  6. Step 6: Final answer
    x = 397,934.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.