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Finding the Fourth Proportional to 313,386.60, 470,079.90 and 76,731.60

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Solution

The fourth proportional to 313,386.60, 470,079.90 and 76,731.60 is: 115,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,386.60 : 470,079.90 = 76,731.60 : x
  2. Step 2: Convert to fraction form
    313,386.60/470,079.90 = 76,731.60/x
  3. Step 3: Cross multiply
    313,386.60x = 470,079.90 × 76,731.60
  4. Step 4: Simplify right side
    313,386.60x = 36,069,982,854.84
  5. Step 5: Solve for x
    x = 36,069,982,854.84/313,386.60
  6. Step 6: Final answer
    x = 115,097.40

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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.