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Finding the Fourth Proportional to 427,841.39, 640,839.50 and 402,688.77

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Solution

The fourth proportional to 427,841.39, 640,839.50 and 402,688.77 is: 603,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,841.39 : 640,839.50 = 402,688.77 : x
  2. Step 2: Convert to fraction form
    427,841.39/640,839.50 = 402,688.77/x
  3. Step 3: Cross multiply
    427,841.39x = 640,839.50 × 402,688.77
  4. Step 4: Simplify right side
    427,841.39x = 258,058,867,115.91
  5. Step 5: Solve for x
    x = 258,058,867,115.91/427,841.39
  6. Step 6: Final answer
    x = 603,164.80

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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.