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Finding the Fourth Proportional to 461,805.68, 637,302.67 and 257,849.71

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Solution

The fourth proportional to 461,805.68, 637,302.67 and 257,849.71 is: 355,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,805.68 : 637,302.67 = 257,849.71 : x
  2. Step 2: Convert to fraction form
    461,805.68/637,302.67 = 257,849.71/x
  3. Step 3: Cross multiply
    461,805.68x = 637,302.67 × 257,849.71
  4. Step 4: Simplify right side
    461,805.68x = 164,328,306,403.85
  5. Step 5: Solve for x
    x = 164,328,306,403.85/461,805.68
  6. Step 6: Final answer
    x = 355,838.64

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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.