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Finding the Fourth Proportional to 499,847.96, 689,298.68 and 458,356.92

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Solution

The fourth proportional to 499,847.96, 689,298.68 and 458,356.92 is: 632,081.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,847.96 : 689,298.68 = 458,356.92 : x
  2. Step 2: Convert to fraction form
    499,847.96/689,298.68 = 458,356.92/x
  3. Step 3: Cross multiply
    499,847.96x = 689,298.68 × 458,356.92
  4. Step 4: Simplify right side
    499,847.96x = 315,944,821,070.76
  5. Step 5: Solve for x
    x = 315,944,821,070.76/499,847.96
  6. Step 6: Final answer
    x = 632,081.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.