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Finding the Fourth Proportional to 469,648.97, 648,102.78 and 260,089.61

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Solution

The fourth proportional to 469,648.97, 648,102.78 and 260,089.61 is: 358,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,648.97 : 648,102.78 = 260,089.61 : x
  2. Step 2: Convert to fraction form
    469,648.97/648,102.78 = 260,089.61/x
  3. Step 3: Cross multiply
    469,648.97x = 648,102.78 × 260,089.61
  4. Step 4: Simplify right side
    469,648.97x = 168,564,799,290.12
  5. Step 5: Solve for x
    x = 168,564,799,290.12/469,648.97
  6. Step 6: Final answer
    x = 358,916.57

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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.