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Finding the Fourth Proportional to 313,646.55, 470,479.06 and 76,989.23

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Solution

The fourth proportional to 313,646.55, 470,479.06 and 76,989.23 is: 115,486.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,646.55 : 470,479.06 = 76,989.23 : x
  2. Step 2: Convert to fraction form
    313,646.55/470,479.06 = 76,989.23/x
  3. Step 3: Cross multiply
    313,646.55x = 470,479.06 × 76,989.23
  4. Step 4: Simplify right side
    313,646.55x = 36,221,822,498.57
  5. Step 5: Solve for x
    x = 36,221,822,498.57/313,646.55
  6. Step 6: Final answer
    x = 115,486.12

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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.