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Finding the Fourth Proportional to 469,419.98, 647,751.94 and 288,139.55

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Solution

The fourth proportional to 469,419.98, 647,751.94 and 288,139.55 is: 397,603.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,419.98 : 647,751.94 = 288,139.55 : x
  2. Step 2: Convert to fraction form
    469,419.98/647,751.94 = 288,139.55/x
  3. Step 3: Cross multiply
    469,419.98x = 647,751.94 × 288,139.55
  4. Step 4: Simplify right side
    469,419.98x = 186,642,948,544.12
  5. Step 5: Solve for x
    x = 186,642,948,544.12/469,419.98
  6. Step 6: Final answer
    x = 397,603.34

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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.