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Finding the Fourth Proportional to 456,008.65, 684,086.49 and 140,465.26

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Solution

The fourth proportional to 456,008.65, 684,086.49 and 140,465.26 is: 210,720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,008.65 : 684,086.49 = 140,465.26 : x
  2. Step 2: Convert to fraction form
    456,008.65/684,086.49 = 140,465.26/x
  3. Step 3: Cross multiply
    456,008.65x = 684,086.49 × 140,465.26
  4. Step 4: Simplify right side
    456,008.65x = 96,090,386,680.34
  5. Step 5: Solve for x
    x = 96,090,386,680.34/456,008.65
  6. Step 6: Final answer
    x = 210,720.53

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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.