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Finding the Fourth Proportional to 389,344.80, 584,017.20 and 310,612.80

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Solution

The fourth proportional to 389,344.80, 584,017.20 and 310,612.80 is: 465,919.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,344.80 : 584,017.20 = 310,612.80 : x
  2. Step 2: Convert to fraction form
    389,344.80/584,017.20 = 310,612.80/x
  3. Step 3: Cross multiply
    389,344.80x = 584,017.20 × 310,612.80
  4. Step 4: Simplify right side
    389,344.80x = 181,403,217,740.16
  5. Step 5: Solve for x
    x = 181,403,217,740.16/389,344.80
  6. Step 6: Final answer
    x = 465,919.20

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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.