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Finding the Fourth Proportional to 313,780.68, 470,406.56 and 136,154.16

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Solution

The fourth proportional to 313,780.68, 470,406.56 and 136,154.16 is: 204,116.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,780.68 : 470,406.56 = 136,154.16 : x
  2. Step 2: Convert to fraction form
    313,780.68/470,406.56 = 136,154.16/x
  3. Step 3: Cross multiply
    313,780.68x = 470,406.56 × 136,154.16
  4. Step 4: Simplify right side
    313,780.68x = 64,047,809,354.52
  5. Step 5: Solve for x
    x = 64,047,809,354.52/313,780.68
  6. Step 6: Final answer
    x = 204,116.48

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1.5x scale

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.