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Finding the Fourth Proportional to 320,857.70, 480,768.15 and 202,316.90

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Solution

The fourth proportional to 320,857.70, 480,768.15 and 202,316.90 is: 303,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,857.70 : 480,768.15 = 202,316.90 : x
  2. Step 2: Convert to fraction form
    320,857.70/480,768.15 = 202,316.90/x
  3. Step 3: Cross multiply
    320,857.70x = 480,768.15 × 202,316.90
  4. Step 4: Simplify right side
    320,857.70x = 97,267,521,726.74
  5. Step 5: Solve for x
    x = 97,267,521,726.74/320,857.70
  6. Step 6: Final answer
    x = 303,148.47

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1.5x scale

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.