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Finding the Fourth Proportional to 342,000.30, 513,000.45 and 164,415.90

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Solution

The fourth proportional to 342,000.30, 513,000.45 and 164,415.90 is: 246,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,000.30 : 513,000.45 = 164,415.90 : x
  2. Step 2: Convert to fraction form
    342,000.30/513,000.45 = 164,415.90/x
  3. Step 3: Cross multiply
    342,000.30x = 513,000.45 × 164,415.90
  4. Step 4: Simplify right side
    342,000.30x = 84,345,430,687.16
  5. Step 5: Solve for x
    x = 84,345,430,687.16/342,000.30
  6. Step 6: Final answer
    x = 246,623.85

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1.5x scale

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.