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Finding the Fourth Proportional to 312,473.61, 470,040.84 and 283,244.40

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Solution

The fourth proportional to 312,473.61, 470,040.84 and 283,244.40 is: 426,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,473.61 : 470,040.84 = 283,244.40 : x
  2. Step 2: Convert to fraction form
    312,473.61/470,040.84 = 283,244.40/x
  3. Step 3: Cross multiply
    312,473.61x = 470,040.84 × 283,244.40
  4. Step 4: Simplify right side
    312,473.61x = 133,136,435,701.30
  5. Step 5: Solve for x
    x = 133,136,435,701.30/312,473.61
  6. Step 6: Final answer
    x = 426,072.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.