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Finding the Fourth Proportional to 315,462, 473,122.26 and 90,772.38

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Solution

The fourth proportional to 315,462, 473,122.26 and 90,772.38 is: 136,138.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,462 : 473,122.26 = 90,772.38 : x
  2. Step 2: Convert to fraction form
    315,462/473,122.26 = 90,772.38/x
  3. Step 3: Cross multiply
    315,462x = 473,122.26 × 90,772.38
  4. Step 4: Simplify right side
    315,462x = 42,946,433,571.18
  5. Step 5: Solve for x
    x = 42,946,433,571.18/315,462
  6. Step 6: Final answer
    x = 136,138.21

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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.