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Finding the Fourth Proportional to 463,888.19, 640,165.79 and 282,600.06

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Solution

The fourth proportional to 463,888.19, 640,165.79 and 282,600.06 is: 389,988.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,888.19 : 640,165.79 = 282,600.06 : x
  2. Step 2: Convert to fraction form
    463,888.19/640,165.79 = 282,600.06/x
  3. Step 3: Cross multiply
    463,888.19x = 640,165.79 × 282,600.06
  4. Step 4: Simplify right side
    463,888.19x = 180,910,890,663.95
  5. Step 5: Solve for x
    x = 180,910,890,663.95/463,888.19
  6. Step 6: Final answer
    x = 389,988.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.