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Finding the Fourth Proportional to 609,146.16, 913,906.24 and 272,470

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Solution

The fourth proportional to 609,146.16, 913,906.24 and 272,470 is: 408,788.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,146.16 : 913,906.24 = 272,470 : x
  2. Step 2: Convert to fraction form
    609,146.16/913,906.24 = 272,470/x
  3. Step 3: Cross multiply
    609,146.16x = 913,906.24 × 272,470
  4. Step 4: Simplify right side
    609,146.16x = 249,012,033,212.80
  5. Step 5: Solve for x
    x = 249,012,033,212.80/609,146.16
  6. Step 6: Final answer
    x = 408,788.64

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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.