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Finding the Fourth Proportional to 601,691.60, 830,282.28 and 343,567.28

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Solution

The fourth proportional to 601,691.60, 830,282.28 and 343,567.28 is: 474,093.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,691.60 : 830,282.28 = 343,567.28 : x
  2. Step 2: Convert to fraction form
    601,691.60/830,282.28 = 343,567.28/x
  3. Step 3: Cross multiply
    601,691.60x = 830,282.28 × 343,567.28
  4. Step 4: Simplify right side
    601,691.60x = 285,257,824,571.80
  5. Step 5: Solve for x
    x = 285,257,824,571.80/601,691.60
  6. Step 6: Final answer
    x = 474,093.08

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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.