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Finding the Fourth Proportional to 438,578.98, 605,384.95 and 257,224.74

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Solution

The fourth proportional to 438,578.98, 605,384.95 and 257,224.74 is: 355,055.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,578.98 : 605,384.95 = 257,224.74 : x
  2. Step 2: Convert to fraction form
    438,578.98/605,384.95 = 257,224.74/x
  3. Step 3: Cross multiply
    438,578.98x = 605,384.95 × 257,224.74
  4. Step 4: Simplify right side
    438,578.98x = 155,719,986,363.66
  5. Step 5: Solve for x
    x = 155,719,986,363.66/438,578.98
  6. Step 6: Final answer
    x = 355,055.74

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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.