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Finding the Fourth Proportional to 315,019.50, 470,520.80 and 284,987.43

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Solution

The fourth proportional to 315,019.50, 470,520.80 and 284,987.43 is: 425,664.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,019.50 : 470,520.80 = 284,987.43 : x
  2. Step 2: Convert to fraction form
    315,019.50/470,520.80 = 284,987.43/x
  3. Step 3: Cross multiply
    315,019.50x = 470,520.80 × 284,987.43
  4. Step 4: Simplify right side
    315,019.50x = 134,092,514,800.36
  5. Step 5: Solve for x
    x = 134,092,514,800.36/315,019.50
  6. Step 6: Final answer
    x = 425,664.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.