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Finding the Fourth Proportional to 320,547.36, 480,972.24 and 143,038.56

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Solution

The fourth proportional to 320,547.36, 480,972.24 and 143,038.56 is: 214,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,547.36 : 480,972.24 = 143,038.56 : x
  2. Step 2: Convert to fraction form
    320,547.36/480,972.24 = 143,038.56/x
  3. Step 3: Cross multiply
    320,547.36x = 480,972.24 × 143,038.56
  4. Step 4: Simplify right side
    320,547.36x = 68,797,576,609.57
  5. Step 5: Solve for x
    x = 68,797,576,609.57/320,547.36
  6. Step 6: Final answer
    x = 214,625.31

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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.