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Finding the Fourth Proportional to 661,072.42, 991,431.51 and 287,006.50

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Solution

The fourth proportional to 661,072.42, 991,431.51 and 287,006.50 is: 430,432.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,072.42 : 991,431.51 = 287,006.50 : x
  2. Step 2: Convert to fraction form
    661,072.42/991,431.51 = 287,006.50/x
  3. Step 3: Cross multiply
    661,072.42x = 991,431.51 × 287,006.50
  4. Step 4: Simplify right side
    661,072.42x = 284,547,287,674.82
  5. Step 5: Solve for x
    x = 284,547,287,674.82/661,072.42
  6. Step 6: Final answer
    x = 430,432.85

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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.