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Finding the Fourth Proportional to 320,468.49, 480,666.02 and 83,834.01

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Solution

The fourth proportional to 320,468.49, 480,666.02 and 83,834.01 is: 125,741.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,468.49 : 480,666.02 = 83,834.01 : x
  2. Step 2: Convert to fraction form
    320,468.49/480,666.02 = 83,834.01/x
  3. Step 3: Cross multiply
    320,468.49x = 480,666.02 × 83,834.01
  4. Step 4: Simplify right side
    320,468.49x = 40,296,159,508.17
  5. Step 5: Solve for x
    x = 40,296,159,508.17/320,468.49
  6. Step 6: Final answer
    x = 125,741.41

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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.