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Finding the Fourth Proportional to 472,109.16, 650,772.90 and 320,943.72

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Solution

The fourth proportional to 472,109.16, 650,772.90 and 320,943.72 is: 442,400.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,109.16 : 650,772.90 = 320,943.72 : x
  2. Step 2: Convert to fraction form
    472,109.16/650,772.90 = 320,943.72/x
  3. Step 3: Cross multiply
    472,109.16x = 650,772.90 × 320,943.72
  4. Step 4: Simplify right side
    472,109.16x = 208,861,475,401.19
  5. Step 5: Solve for x
    x = 208,861,475,401.19/472,109.16
  6. Step 6: Final answer
    x = 442,400.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.