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Finding the Fourth Proportional to 320,514.96, 480,641.22 and 142,900.50

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Solution

The fourth proportional to 320,514.96, 480,641.22 and 142,900.50 is: 214,292.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,514.96 : 480,641.22 = 142,900.50 : x
  2. Step 2: Convert to fraction form
    320,514.96/480,641.22 = 142,900.50/x
  3. Step 3: Cross multiply
    320,514.96x = 480,641.22 × 142,900.50
  4. Step 4: Simplify right side
    320,514.96x = 68,683,870,658.61
  5. Step 5: Solve for x
    x = 68,683,870,658.61/320,514.96
  6. Step 6: Final answer
    x = 214,292.25

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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.