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Finding the Fourth Proportional to 543,871.80, 815,807.70 and 463,390.20

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Solution

The fourth proportional to 543,871.80, 815,807.70 and 463,390.20 is: 695,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,871.80 : 815,807.70 = 463,390.20 : x
  2. Step 2: Convert to fraction form
    543,871.80/815,807.70 = 463,390.20/x
  3. Step 3: Cross multiply
    543,871.80x = 815,807.70 × 463,390.20
  4. Step 4: Simplify right side
    543,871.80x = 378,037,293,264.54
  5. Step 5: Solve for x
    x = 378,037,293,264.54/543,871.80
  6. Step 6: Final answer
    x = 695,085.30

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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.