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Finding the Fourth Proportional to 320,492.77, 480,792.61 and 142,993.11

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Solution

The fourth proportional to 320,492.77, 480,792.61 and 142,993.11 is: 214,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,492.77 : 480,792.61 = 142,993.11 : x
  2. Step 2: Convert to fraction form
    320,492.77/480,792.61 = 142,993.11/x
  3. Step 3: Cross multiply
    320,492.77x = 480,792.61 × 142,993.11
  4. Step 4: Simplify right side
    320,492.77x = 68,750,032,550.63
  5. Step 5: Solve for x
    x = 68,750,032,550.63/320,492.77
  6. Step 6: Final answer
    x = 214,513.52

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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.