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Finding the Fourth Proportional to 205,139.40, 307,709.10 and 202,374.60

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Solution

The fourth proportional to 205,139.40, 307,709.10 and 202,374.60 is: 303,561.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,139.40 : 307,709.10 = 202,374.60 : x
  2. Step 2: Convert to fraction form
    205,139.40/307,709.10 = 202,374.60/x
  3. Step 3: Cross multiply
    205,139.40x = 307,709.10 × 202,374.60
  4. Step 4: Simplify right side
    205,139.40x = 62,272,506,028.86
  5. Step 5: Solve for x
    x = 62,272,506,028.86/205,139.40
  6. Step 6: Final answer
    x = 303,561.90

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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.