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Finding the Fourth Proportional to 536,009.57, 739,694.64 and 294,307.80

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Solution

The fourth proportional to 536,009.57, 739,694.64 and 294,307.80 is: 406,145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,009.57 : 739,694.64 = 294,307.80 : x
  2. Step 2: Convert to fraction form
    536,009.57/739,694.64 = 294,307.80/x
  3. Step 3: Cross multiply
    536,009.57x = 739,694.64 × 294,307.80
  4. Step 4: Simplify right side
    536,009.57x = 217,697,902,170.19
  5. Step 5: Solve for x
    x = 217,697,902,170.19/536,009.57
  6. Step 6: Final answer
    x = 406,145.55

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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.