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Finding the Fourth Proportional to 259,006.70, 388,565.33 and 146,740.70

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Solution

The fourth proportional to 259,006.70, 388,565.33 and 146,740.70 is: 220,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,006.70 : 388,565.33 = 146,740.70 : x
  2. Step 2: Convert to fraction form
    259,006.70/388,565.33 = 146,740.70/x
  3. Step 3: Cross multiply
    259,006.70x = 388,565.33 × 146,740.70
  4. Step 4: Simplify right side
    259,006.70x = 57,018,348,519.93
  5. Step 5: Solve for x
    x = 57,018,348,519.93/259,006.70
  6. Step 6: Final answer
    x = 220,142.37

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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.