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Finding the Fourth Proportional to 315,041.97, 472,420.80 and 90,350.82

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Solution

The fourth proportional to 315,041.97, 472,420.80 and 90,350.82 is: 135,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,041.97 : 472,420.80 = 90,350.82 : x
  2. Step 2: Convert to fraction form
    315,041.97/472,420.80 = 90,350.82/x
  3. Step 3: Cross multiply
    315,041.97x = 472,420.80 × 90,350.82
  4. Step 4: Simplify right side
    315,041.97x = 42,683,606,665.06
  5. Step 5: Solve for x
    x = 42,683,606,665.06/315,041.97
  6. Step 6: Final answer
    x = 135,485.46

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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.