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Finding the Fourth Proportional to 431,667.80, 647,501.70 and 386,178.20

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Solution

The fourth proportional to 431,667.80, 647,501.70 and 386,178.20 is: 579,267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,667.80 : 647,501.70 = 386,178.20 : x
  2. Step 2: Convert to fraction form
    431,667.80/647,501.70 = 386,178.20/x
  3. Step 3: Cross multiply
    431,667.80x = 647,501.70 × 386,178.20
  4. Step 4: Simplify right side
    431,667.80x = 250,051,041,002.94
  5. Step 5: Solve for x
    x = 250,051,041,002.94/431,667.80
  6. Step 6: Final answer
    x = 579,267.30

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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.