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Finding the Fourth Proportional to 472,715.44, 709,072.80 and 140,291.44

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Solution

The fourth proportional to 472,715.44, 709,072.80 and 140,291.44 is: 210,437.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,715.44 : 709,072.80 = 140,291.44 : x
  2. Step 2: Convert to fraction form
    472,715.44/709,072.80 = 140,291.44/x
  3. Step 3: Cross multiply
    472,715.44x = 709,072.80 × 140,291.44
  4. Step 4: Simplify right side
    472,715.44x = 99,476,844,176.83
  5. Step 5: Solve for x
    x = 99,476,844,176.83/472,715.44
  6. Step 6: Final answer
    x = 210,437.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.