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Finding the Fourth Proportional to 419,497.74, 578,915.82 and 228,510.72

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Solution

The fourth proportional to 419,497.74, 578,915.82 and 228,510.72 is: 315,349.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,497.74 : 578,915.82 = 228,510.72 : x
  2. Step 2: Convert to fraction form
    419,497.74/578,915.82 = 228,510.72/x
  3. Step 3: Cross multiply
    419,497.74x = 578,915.82 × 228,510.72
  4. Step 4: Simplify right side
    419,497.74x = 132,288,470,847.59
  5. Step 5: Solve for x
    x = 132,288,470,847.59/419,497.74
  6. Step 6: Final answer
    x = 315,349.66

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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.