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Finding the Fourth Proportional to 320,407.96, 480,607.34 and 95,763.40

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Solution

The fourth proportional to 320,407.96, 480,607.34 and 95,763.40 is: 143,643.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,407.96 : 480,607.34 = 95,763.40 : x
  2. Step 2: Convert to fraction form
    320,407.96/480,607.34 = 95,763.40/x
  3. Step 3: Cross multiply
    320,407.96x = 480,607.34 × 95,763.40
  4. Step 4: Simplify right side
    320,407.96x = 46,024,592,943.36
  5. Step 5: Solve for x
    x = 46,024,592,943.36/320,407.96
  6. Step 6: Final answer
    x = 143,643.73

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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.