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Finding the Fourth Proportional to 230,402, 345,622.80 and 64,190

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Solution

The fourth proportional to 230,402, 345,622.80 and 64,190 is: 96,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,402 : 345,622.80 = 64,190 : x
  2. Step 2: Convert to fraction form
    230,402/345,622.80 = 64,190/x
  3. Step 3: Cross multiply
    230,402x = 345,622.80 × 64,190
  4. Step 4: Simplify right side
    230,402x = 22,185,527,532
  5. Step 5: Solve for x
    x = 22,185,527,532/230,402
  6. Step 6: Final answer
    x = 96,290.52

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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.