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Finding the Fourth Proportional to 542,405.80, 815,358.30 and 385,719.40

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Solution

The fourth proportional to 542,405.80, 815,358.30 and 385,719.40 is: 579,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,405.80 : 815,358.30 = 385,719.40 : x
  2. Step 2: Convert to fraction form
    542,405.80/815,358.30 = 385,719.40/x
  3. Step 3: Cross multiply
    542,405.80x = 815,358.30 × 385,719.40
  4. Step 4: Simplify right side
    542,405.80x = 314,499,514,261.02
  5. Step 5: Solve for x
    x = 314,499,514,261.02/542,405.80
  6. Step 6: Final answer
    x = 579,823.29

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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.