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Finding the Fourth Proportional to 456,130.80, 683,966.70 and 140,546.70

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Solution

The fourth proportional to 456,130.80, 683,966.70 and 140,546.70 is: 210,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,130.80 : 683,966.70 = 140,546.70 : x
  2. Step 2: Convert to fraction form
    456,130.80/683,966.70 = 140,546.70/x
  3. Step 3: Cross multiply
    456,130.80x = 683,966.70 × 140,546.70
  4. Step 4: Simplify right side
    456,130.80x = 96,129,262,594.89
  5. Step 5: Solve for x
    x = 96,129,262,594.89/456,130.80
  6. Step 6: Final answer
    x = 210,749.33

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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.