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Finding the Fourth Proportional to 498,948.36, 688,775.33 and 317,908.50

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Solution

The fourth proportional to 498,948.36, 688,775.33 and 317,908.50 is: 438,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,948.36 : 688,775.33 = 317,908.50 : x
  2. Step 2: Convert to fraction form
    498,948.36/688,775.33 = 317,908.50/x
  3. Step 3: Cross multiply
    498,948.36x = 688,775.33 × 317,908.50
  4. Step 4: Simplify right side
    498,948.36x = 218,967,530,407.76
  5. Step 5: Solve for x
    x = 218,967,530,407.76/498,948.36
  6. Step 6: Final answer
    x = 438,858.10

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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.