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Finding the Fourth Proportional to 313,802.55, 470,439.27 and 136,175.76

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Solution

The fourth proportional to 313,802.55, 470,439.27 and 136,175.76 is: 204,148.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,802.55 : 470,439.27 = 136,175.76 : x
  2. Step 2: Convert to fraction form
    313,802.55/470,439.27 = 136,175.76/x
  3. Step 3: Cross multiply
    313,802.55x = 470,439.27 × 136,175.76
  4. Step 4: Simplify right side
    313,802.55x = 64,062,425,126.10
  5. Step 5: Solve for x
    x = 64,062,425,126.10/313,802.55
  6. Step 6: Final answer
    x = 204,148.84

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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.