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Finding the Fourth Proportional to 419,497.71, 578,905.95 and 228,510.66

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Solution

The fourth proportional to 419,497.71, 578,905.95 and 228,510.66 is: 315,344.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,497.71 : 578,905.95 = 228,510.66 : x
  2. Step 2: Convert to fraction form
    419,497.71/578,905.95 = 228,510.66/x
  3. Step 3: Cross multiply
    419,497.71x = 578,905.95 × 228,510.66
  4. Step 4: Simplify right side
    419,497.71x = 132,286,180,712.43
  5. Step 5: Solve for x
    x = 132,286,180,712.43/419,497.71
  6. Step 6: Final answer
    x = 315,344.23

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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.