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Finding the Fourth Proportional to 243,657.40, 365,000.10 and 214,432.60

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Solution

The fourth proportional to 243,657.40, 365,000.10 and 214,432.60 is: 321,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,657.40 : 365,000.10 = 214,432.60 : x
  2. Step 2: Convert to fraction form
    243,657.40/365,000.10 = 214,432.60/x
  3. Step 3: Cross multiply
    243,657.40x = 365,000.10 × 214,432.60
  4. Step 4: Simplify right side
    243,657.40x = 78,267,920,443.26
  5. Step 5: Solve for x
    x = 78,267,920,443.26/243,657.40
  6. Step 6: Final answer
    x = 321,221.19

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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.