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Finding the Fourth Proportional to 393,045.69, 589,693.14 and 140,320.76

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Solution

The fourth proportional to 393,045.69, 589,693.14 and 140,320.76 is: 210,525.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,045.69 : 589,693.14 = 140,320.76 : x
  2. Step 2: Convert to fraction form
    393,045.69/589,693.14 = 140,320.76/x
  3. Step 3: Cross multiply
    393,045.69x = 589,693.14 × 140,320.76
  4. Step 4: Simplify right side
    393,045.69x = 82,746,186,623.12
  5. Step 5: Solve for x
    x = 82,746,186,623.12/393,045.69
  6. Step 6: Final answer
    x = 210,525.62

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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.