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Finding the Fourth Proportional to 498,412.60, 687,804.78 and 307,349.56

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Solution

The fourth proportional to 498,412.60, 687,804.78 and 307,349.56 is: 424,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,412.60 : 687,804.78 = 307,349.56 : x
  2. Step 2: Convert to fraction form
    498,412.60/687,804.78 = 307,349.56/x
  3. Step 3: Cross multiply
    498,412.60x = 687,804.78 × 307,349.56
  4. Step 4: Simplify right side
    498,412.60x = 211,396,496,498.90
  5. Step 5: Solve for x
    x = 211,396,496,498.90/498,412.60
  6. Step 6: Final answer
    x = 424,139.55

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1.5x scale

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.