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Finding the Fourth Proportional to 653,506.73, 978,840.54 and 315,839.21

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Solution

The fourth proportional to 653,506.73, 978,840.54 and 315,839.21 is: 473,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,506.73 : 978,840.54 = 315,839.21 : x
  2. Step 2: Convert to fraction form
    653,506.73/978,840.54 = 315,839.21/x
  3. Step 3: Cross multiply
    653,506.73x = 978,840.54 × 315,839.21
  4. Step 4: Simplify right side
    653,506.73x = 309,156,225,316.68
  5. Step 5: Solve for x
    x = 309,156,225,316.68/653,506.73
  6. Step 6: Final answer
    x = 473,072.75

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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.