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Finding the Fourth Proportional to 427,006.79, 640,499.93 and 138,818.06

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Solution

The fourth proportional to 427,006.79, 640,499.93 and 138,818.06 is: 208,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,006.79 : 640,499.93 = 138,818.06 : x
  2. Step 2: Convert to fraction form
    427,006.79/640,499.93 = 138,818.06/x
  3. Step 3: Cross multiply
    427,006.79x = 640,499.93 × 138,818.06
  4. Step 4: Simplify right side
    427,006.79x = 88,912,953,816.15
  5. Step 5: Solve for x
    x = 88,912,953,816.15/427,006.79
  6. Step 6: Final answer
    x = 208,223.75

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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.