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Finding the Fourth Proportional to 388,017.80, 581,649.42 and 185,561.48

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Solution

The fourth proportional to 388,017.80, 581,649.42 and 185,561.48 is: 278,161.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,017.80 : 581,649.42 = 185,561.48 : x
  2. Step 2: Convert to fraction form
    388,017.80/581,649.42 = 185,561.48/x
  3. Step 3: Cross multiply
    388,017.80x = 581,649.42 × 185,561.48
  4. Step 4: Simplify right side
    388,017.80x = 107,931,727,216.34
  5. Step 5: Solve for x
    x = 107,931,727,216.34/388,017.80
  6. Step 6: Final answer
    x = 278,161.79

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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.