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Finding the Fourth Proportional to 469,496.52, 647,914.02 and 288,117.60

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Solution

The fourth proportional to 469,496.52, 647,914.02 and 288,117.60 is: 397,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,496.52 : 647,914.02 = 288,117.60 : x
  2. Step 2: Convert to fraction form
    469,496.52/647,914.02 = 288,117.60/x
  3. Step 3: Cross multiply
    469,496.52x = 647,914.02 × 288,117.60
  4. Step 4: Simplify right side
    469,496.52x = 186,675,432,448.75
  5. Step 5: Solve for x
    x = 186,675,432,448.75/469,496.52
  6. Step 6: Final answer
    x = 397,607.70

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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.