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Finding the Fourth Proportional to 585,612.80, 878,462.40 and 211,587.20

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Solution

The fourth proportional to 585,612.80, 878,462.40 and 211,587.20 is: 317,396.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,612.80 : 878,462.40 = 211,587.20 : x
  2. Step 2: Convert to fraction form
    585,612.80/878,462.40 = 211,587.20/x
  3. Step 3: Cross multiply
    585,612.80x = 878,462.40 × 211,587.20
  4. Step 4: Simplify right side
    585,612.80x = 185,871,399,521.28
  5. Step 5: Solve for x
    x = 185,871,399,521.28/585,612.80
  6. Step 6: Final answer
    x = 317,396.41

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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.