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Finding the Fourth Proportional to 320,478.49, 480,681.01 and 83,844.01

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Solution

The fourth proportional to 320,478.49, 480,681.01 and 83,844.01 is: 125,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,478.49 : 480,681.01 = 83,844.01 : x
  2. Step 2: Convert to fraction form
    320,478.49/480,681.01 = 83,844.01/x
  3. Step 3: Cross multiply
    320,478.49x = 480,681.01 × 83,844.01
  4. Step 4: Simplify right side
    320,478.49x = 40,302,223,409.25
  5. Step 5: Solve for x
    x = 40,302,223,409.25/320,478.49
  6. Step 6: Final answer
    x = 125,756.41

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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.