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Finding the Fourth Proportional to 259,006.20, 388,564.58 and 146,740.20

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Solution

The fourth proportional to 259,006.20, 388,564.58 and 146,740.20 is: 220,141.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,006.20 : 388,564.58 = 146,740.20 : x
  2. Step 2: Convert to fraction form
    259,006.20/388,564.58 = 146,740.20/x
  3. Step 3: Cross multiply
    259,006.20x = 388,564.58 × 146,740.20
  4. Step 4: Simplify right side
    259,006.20x = 57,018,044,182.12
  5. Step 5: Solve for x
    x = 57,018,044,182.12/259,006.20
  6. Step 6: Final answer
    x = 220,141.62

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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.