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Finding the Fourth Proportional to 491,038.21, 736,737.21 and 206,800.30

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Solution

The fourth proportional to 491,038.21, 736,737.21 and 206,800.30 is: 310,276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,038.21 : 736,737.21 = 206,800.30 : x
  2. Step 2: Convert to fraction form
    491,038.21/736,737.21 = 206,800.30/x
  3. Step 3: Cross multiply
    491,038.21x = 736,737.21 × 206,800.30
  4. Step 4: Simplify right side
    491,038.21x = 152,357,471,331.48
  5. Step 5: Solve for x
    x = 152,357,471,331.48/491,038.21
  6. Step 6: Final answer
    x = 310,276.21

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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.