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Finding the Fourth Proportional to 497,382.79, 746,258.91 and 345,499.84

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Solution

The fourth proportional to 497,382.79, 746,258.91 and 345,499.84 is: 518,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,382.79 : 746,258.91 = 345,499.84 : x
  2. Step 2: Convert to fraction form
    497,382.79/746,258.91 = 345,499.84/x
  3. Step 3: Cross multiply
    497,382.79x = 746,258.91 × 345,499.84
  4. Step 4: Simplify right side
    497,382.79x = 257,832,328,544.78
  5. Step 5: Solve for x
    x = 257,832,328,544.78/497,382.79
  6. Step 6: Final answer
    x = 518,378.07

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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.