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Finding the Fourth Proportional to 427,842.39, 640,841 and 402,689.77

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Solution

The fourth proportional to 427,842.39, 640,841 and 402,689.77 is: 603,166.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,842.39 : 640,841 = 402,689.77 : x
  2. Step 2: Convert to fraction form
    427,842.39/640,841 = 402,689.77/x
  3. Step 3: Cross multiply
    427,842.39x = 640,841 × 402,689.77
  4. Step 4: Simplify right side
    427,842.39x = 258,060,114,896.57
  5. Step 5: Solve for x
    x = 258,060,114,896.57/427,842.39
  6. Step 6: Final answer
    x = 603,166.31

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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.