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Finding the Fourth Proportional to 540,827.46, 810,897.75 and 287,951.94

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Solution

The fourth proportional to 540,827.46, 810,897.75 and 287,951.94 is: 431,745.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,827.46 : 810,897.75 = 287,951.94 : x
  2. Step 2: Convert to fraction form
    540,827.46/810,897.75 = 287,951.94/x
  3. Step 3: Cross multiply
    540,827.46x = 810,897.75 × 287,951.94
  4. Step 4: Simplify right side
    540,827.46x = 233,499,580,254.14
  5. Step 5: Solve for x
    x = 233,499,580,254.14/540,827.46
  6. Step 6: Final answer
    x = 431,745.05

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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.