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Finding the Fourth Proportional to 499,855.47, 689,309.01 and 458,364.42

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Solution

The fourth proportional to 499,855.47, 689,309.01 and 458,364.42 is: 632,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,855.47 : 689,309.01 = 458,364.42 : x
  2. Step 2: Convert to fraction form
    499,855.47/689,309.01 = 458,364.42/x
  3. Step 3: Cross multiply
    499,855.47x = 689,309.01 × 458,364.42
  4. Step 4: Simplify right side
    499,855.47x = 315,954,724,569.42
  5. Step 5: Solve for x
    x = 315,954,724,569.42/499,855.47
  6. Step 6: Final answer
    x = 632,092.16

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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.