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Finding the Fourth Proportional to 419,234, 578,524.80 and 228,248.08

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Solution

The fourth proportional to 419,234, 578,524.80 and 228,248.08 is: 314,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,234 : 578,524.80 = 228,248.08 : x
  2. Step 2: Convert to fraction form
    419,234/578,524.80 = 228,248.08/x
  3. Step 3: Cross multiply
    419,234x = 578,524.80 × 228,248.08
  4. Step 4: Simplify right side
    419,234x = 132,047,174,832.38
  5. Step 5: Solve for x
    x = 132,047,174,832.38/419,234
  6. Step 6: Final answer
    x = 314,972.49

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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.