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Finding the Fourth Proportional to 384,700.80, 576,014.40 and 278,947.20

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Solution

The fourth proportional to 384,700.80, 576,014.40 and 278,947.20 is: 417,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,700.80 : 576,014.40 = 278,947.20 : x
  2. Step 2: Convert to fraction form
    384,700.80/576,014.40 = 278,947.20/x
  3. Step 3: Cross multiply
    384,700.80x = 576,014.40 × 278,947.20
  4. Step 4: Simplify right side
    384,700.80x = 160,677,604,039.68
  5. Step 5: Solve for x
    x = 160,677,604,039.68/384,700.80
  6. Step 6: Final answer
    x = 417,669.01

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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.