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Finding the Fourth Proportional to 418,999.89, 578,230.20 and 228,023.76

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Solution

The fourth proportional to 418,999.89, 578,230.20 and 228,023.76 is: 314,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,999.89 : 578,230.20 = 228,023.76 : x
  2. Step 2: Convert to fraction form
    418,999.89/578,230.20 = 228,023.76/x
  3. Step 3: Cross multiply
    418,999.89x = 578,230.20 × 228,023.76
  4. Step 4: Simplify right side
    418,999.89x = 131,850,224,349.55
  5. Step 5: Solve for x
    x = 131,850,224,349.55/418,999.89
  6. Step 6: Final answer
    x = 314,678.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.