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Finding the Fourth Proportional to 561,281.81, 842,254.95 and 206,545.01

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Solution

The fourth proportional to 561,281.81, 842,254.95 and 206,545.01 is: 309,939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,281.81 : 842,254.95 = 206,545.01 : x
  2. Step 2: Convert to fraction form
    561,281.81/842,254.95 = 206,545.01/x
  3. Step 3: Cross multiply
    561,281.81x = 842,254.95 × 206,545.01
  4. Step 4: Simplify right side
    561,281.81x = 173,963,557,070.30
  5. Step 5: Solve for x
    x = 173,963,557,070.30/561,281.81
  6. Step 6: Final answer
    x = 309,939.77

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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.