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Finding the Fourth Proportional to 554,158.80, 829,739.02 and 287,358.46

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Solution

The fourth proportional to 554,158.80, 829,739.02 and 287,358.46 is: 430,260.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,158.80 : 829,739.02 = 287,358.46 : x
  2. Step 2: Convert to fraction form
    554,158.80/829,739.02 = 287,358.46/x
  3. Step 3: Cross multiply
    554,158.80x = 829,739.02 × 287,358.46
  4. Step 4: Simplify right side
    554,158.80x = 238,432,526,989.11
  5. Step 5: Solve for x
    x = 238,432,526,989.11/554,158.80
  6. Step 6: Final answer
    x = 430,260.29

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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.