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Finding the Fourth Proportional to 273,264.80, 407,149.68 and 257,985.90

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Solution

The fourth proportional to 273,264.80, 407,149.68 and 257,985.90 is: 384,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,264.80 : 407,149.68 = 257,985.90 : x
  2. Step 2: Convert to fraction form
    273,264.80/407,149.68 = 257,985.90/x
  3. Step 3: Cross multiply
    273,264.80x = 407,149.68 × 257,985.90
  4. Step 4: Simplify right side
    273,264.80x = 105,038,876,629.51
  5. Step 5: Solve for x
    x = 105,038,876,629.51/273,264.80
  6. Step 6: Final answer
    x = 384,384.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.