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Finding the Fourth Proportional to 386,410.40, 579,586.80 and 161,712.80

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Solution

The fourth proportional to 386,410.40, 579,586.80 and 161,712.80 is: 242,557.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,410.40 : 579,586.80 = 161,712.80 : x
  2. Step 2: Convert to fraction form
    386,410.40/579,586.80 = 161,712.80/x
  3. Step 3: Cross multiply
    386,410.40x = 579,586.80 × 161,712.80
  4. Step 4: Simplify right side
    386,410.40x = 93,726,604,271.04
  5. Step 5: Solve for x
    x = 93,726,604,271.04/386,410.40
  6. Step 6: Final answer
    x = 242,557.15

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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.