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Finding the Fourth Proportional to 540,332.64, 810,261 and 287,552.16

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Solution

The fourth proportional to 540,332.64, 810,261 and 287,552.16 is: 431,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,332.64 : 810,261 = 287,552.16 : x
  2. Step 2: Convert to fraction form
    540,332.64/810,261 = 287,552.16/x
  3. Step 3: Cross multiply
    540,332.64x = 810,261 × 287,552.16
  4. Step 4: Simplify right side
    540,332.64x = 232,992,300,713.76
  5. Step 5: Solve for x
    x = 232,992,300,713.76/540,332.64
  6. Step 6: Final answer
    x = 431,201.60

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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.