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Finding the Fourth Proportional to 315,416.90, 473,234.70 and 138,051.20

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Solution

The fourth proportional to 315,416.90, 473,234.70 and 138,051.20 is: 207,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,416.90 : 473,234.70 = 138,051.20 : x
  2. Step 2: Convert to fraction form
    315,416.90/473,234.70 = 138,051.20/x
  3. Step 3: Cross multiply
    315,416.90x = 473,234.70 × 138,051.20
  4. Step 4: Simplify right side
    315,416.90x = 65,330,618,216.64
  5. Step 5: Solve for x
    x = 65,330,618,216.64/315,416.90
  6. Step 6: Final answer
    x = 207,124.66

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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.