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Finding the Fourth Proportional to 423,510.63, 635,274.09 and 103,665.24

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Solution

The fourth proportional to 423,510.63, 635,274.09 and 103,665.24 is: 155,499.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,510.63 : 635,274.09 = 103,665.24 : x
  2. Step 2: Convert to fraction form
    423,510.63/635,274.09 = 103,665.24/x
  3. Step 3: Cross multiply
    423,510.63x = 635,274.09 × 103,665.24
  4. Step 4: Simplify right side
    423,510.63x = 65,855,841,005.63
  5. Step 5: Solve for x
    x = 65,855,841,005.63/423,510.63
  6. Step 6: Final answer
    x = 155,499.85

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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.