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Finding the Fourth Proportional to 652,292.55, 978,438.83 and 315,494.55

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Solution

The fourth proportional to 652,292.55, 978,438.83 and 315,494.55 is: 473,241.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,292.55 : 978,438.83 = 315,494.55 : x
  2. Step 2: Convert to fraction form
    652,292.55/978,438.83 = 315,494.55/x
  3. Step 3: Cross multiply
    652,292.55x = 978,438.83 × 315,494.55
  4. Step 4: Simplify right side
    652,292.55x = 308,692,116,795.90
  5. Step 5: Solve for x
    x = 308,692,116,795.90/652,292.55
  6. Step 6: Final answer
    x = 473,241.83

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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.