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Finding the Fourth Proportional to 653,505.98, 978,839.42 and 315,838.46

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Solution

The fourth proportional to 653,505.98, 978,839.42 and 315,838.46 is: 473,071.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,505.98 : 978,839.42 = 315,838.46 : x
  2. Step 2: Convert to fraction form
    653,505.98/978,839.42 = 315,838.46/x
  3. Step 3: Cross multiply
    653,505.98x = 978,839.42 × 315,838.46
  4. Step 4: Simplify right side
    653,505.98x = 309,155,135,868.00
  5. Step 5: Solve for x
    x = 309,155,135,868.00/653,505.98
  6. Step 6: Final answer
    x = 473,071.63

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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.