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Finding the Fourth Proportional to 230,478, 345,775.32 and 64,266

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Solution

The fourth proportional to 230,478, 345,775.32 and 64,266 is: 96,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,478 : 345,775.32 = 64,266 : x
  2. Step 2: Convert to fraction form
    230,478/345,775.32 = 64,266/x
  3. Step 3: Cross multiply
    230,478x = 345,775.32 × 64,266
  4. Step 4: Simplify right side
    230,478x = 22,221,596,715.12
  5. Step 5: Solve for x
    x = 22,221,596,715.12/230,478
  6. Step 6: Final answer
    x = 96,415.26

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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.