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Finding the Fourth Proportional to 320,298.57, 480,390.75 and 83,628.72

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Solution

The fourth proportional to 320,298.57, 480,390.75 and 83,628.72 is: 125,428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,298.57 : 480,390.75 = 83,628.72 : x
  2. Step 2: Convert to fraction form
    320,298.57/480,390.75 = 83,628.72/x
  3. Step 3: Cross multiply
    320,298.57x = 480,390.75 × 83,628.72
  4. Step 4: Simplify right side
    320,298.57x = 40,174,463,522.34
  5. Step 5: Solve for x
    x = 40,174,463,522.34/320,298.57
  6. Step 6: Final answer
    x = 125,428.17

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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.