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Finding the Fourth Proportional to 425,802.71, 638,136.63 and 201,222.78

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Solution

The fourth proportional to 425,802.71, 638,136.63 and 201,222.78 is: 301,566.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,802.71 : 638,136.63 = 201,222.78 : x
  2. Step 2: Convert to fraction form
    425,802.71/638,136.63 = 201,222.78/x
  3. Step 3: Cross multiply
    425,802.71x = 638,136.63 × 201,222.78
  4. Step 4: Simplify right side
    425,802.71x = 128,407,626,708.43
  5. Step 5: Solve for x
    x = 128,407,626,708.43/425,802.71
  6. Step 6: Final answer
    x = 301,566.02

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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.