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Finding the Fourth Proportional to 205,235.70, 307,197.45 and 146,186.70

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Solution

The fourth proportional to 205,235.70, 307,197.45 and 146,186.70 is: 218,812.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,235.70 : 307,197.45 = 146,186.70 : x
  2. Step 2: Convert to fraction form
    205,235.70/307,197.45 = 146,186.70/x
  3. Step 3: Cross multiply
    205,235.70x = 307,197.45 × 146,186.70
  4. Step 4: Simplify right side
    205,235.70x = 44,908,181,463.92
  5. Step 5: Solve for x
    x = 44,908,181,463.92/205,235.70
  6. Step 6: Final answer
    x = 218,812.72

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1.5x scale

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.