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Finding the Fourth Proportional to 477,972.89, 716,712.38 and 140,970.63

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Solution

The fourth proportional to 477,972.89, 716,712.38 and 140,970.63 is: 211,383.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,972.89 : 716,712.38 = 140,970.63 : x
  2. Step 2: Convert to fraction form
    477,972.89/716,712.38 = 140,970.63/x
  3. Step 3: Cross multiply
    477,972.89x = 716,712.38 × 140,970.63
  4. Step 4: Simplify right side
    477,972.89x = 101,035,395,737.40
  5. Step 5: Solve for x
    x = 101,035,395,737.40/477,972.89
  6. Step 6: Final answer
    x = 211,383.11

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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.