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Finding the Fourth Proportional to 342,902.88, 473,087.52 and 215,588.16

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Solution

The fourth proportional to 342,902.88, 473,087.52 and 215,588.16 is: 297,437.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,902.88 : 473,087.52 = 215,588.16 : x
  2. Step 2: Convert to fraction form
    342,902.88/473,087.52 = 215,588.16/x
  3. Step 3: Cross multiply
    342,902.88x = 473,087.52 × 215,588.16
  4. Step 4: Simplify right side
    342,902.88x = 101,992,067,955.76
  5. Step 5: Solve for x
    x = 101,992,067,955.76/342,902.88
  6. Step 6: Final answer
    x = 297,437.19

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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.