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Finding the Fourth Proportional to 469,915.69, 648,484.90 and 255,055.76

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Solution

The fourth proportional to 469,915.69, 648,484.90 and 255,055.76 is: 351,977.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,915.69 : 648,484.90 = 255,055.76 : x
  2. Step 2: Convert to fraction form
    469,915.69/648,484.90 = 255,055.76/x
  3. Step 3: Cross multiply
    469,915.69x = 648,484.90 × 255,055.76
  4. Step 4: Simplify right side
    469,915.69x = 165,399,805,775.60
  5. Step 5: Solve for x
    x = 165,399,805,775.60/469,915.69
  6. Step 6: Final answer
    x = 351,977.62

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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.