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Finding the Fourth Proportional to 419,247.42, 578,545.92 and 228,256.98

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Solution

The fourth proportional to 419,247.42, 578,545.92 and 228,256.98 is: 314,986.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,247.42 : 578,545.92 = 228,256.98 : x
  2. Step 2: Convert to fraction form
    419,247.42/578,545.92 = 228,256.98/x
  3. Step 3: Cross multiply
    419,247.42x = 578,545.92 × 228,256.98
  4. Step 4: Simplify right side
    419,247.42x = 132,057,144,490.52
  5. Step 5: Solve for x
    x = 132,057,144,490.52/419,247.42
  6. Step 6: Final answer
    x = 314,986.18

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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.