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Finding the Fourth Proportional to 315,762.77, 473,324.95 and 135,965.45

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Solution

The fourth proportional to 315,762.77, 473,324.95 and 135,965.45 is: 203,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,762.77 : 473,324.95 = 135,965.45 : x
  2. Step 2: Convert to fraction form
    315,762.77/473,324.95 = 135,965.45/x
  3. Step 3: Cross multiply
    315,762.77x = 473,324.95 × 135,965.45
  4. Step 4: Simplify right side
    315,762.77x = 64,355,839,822.98
  5. Step 5: Solve for x
    x = 64,355,839,822.98/315,762.77
  6. Step 6: Final answer
    x = 203,810.73

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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.