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Finding the Fourth Proportional to 459,876.72, 689,986.08 and 207,081.12

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Solution

The fourth proportional to 459,876.72, 689,986.08 and 207,081.12 is: 310,698.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,876.72 : 689,986.08 = 207,081.12 : x
  2. Step 2: Convert to fraction form
    459,876.72/689,986.08 = 207,081.12/x
  3. Step 3: Cross multiply
    459,876.72x = 689,986.08 × 207,081.12
  4. Step 4: Simplify right side
    459,876.72x = 142,883,090,230.81
  5. Step 5: Solve for x
    x = 142,883,090,230.81/459,876.72
  6. Step 6: Final answer
    x = 310,698.68

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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.