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Finding the Fourth Proportional to 540,382.61, 810,587.81 and 256,006.55

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Solution

The fourth proportional to 540,382.61, 810,587.81 and 256,006.55 is: 384,016.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,382.61 : 810,587.81 = 256,006.55 : x
  2. Step 2: Convert to fraction form
    540,382.61/810,587.81 = 256,006.55/x
  3. Step 3: Cross multiply
    540,382.61x = 810,587.81 × 256,006.55
  4. Step 4: Simplify right side
    540,382.61x = 207,515,783,377.18
  5. Step 5: Solve for x
    x = 207,515,783,377.18/540,382.61
  6. Step 6: Final answer
    x = 384,016.40

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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.