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Finding the Fourth Proportional to 313,639.10, 470,501.85 and 136,141.10

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Solution

The fourth proportional to 313,639.10, 470,501.85 and 136,141.10 is: 204,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,639.10 : 470,501.85 = 136,141.10 : x
  2. Step 2: Convert to fraction form
    313,639.10/470,501.85 = 136,141.10/x
  3. Step 3: Cross multiply
    313,639.10x = 470,501.85 × 136,141.10
  4. Step 4: Simplify right side
    313,639.10x = 64,054,639,411.04
  5. Step 5: Solve for x
    x = 64,054,639,411.04/313,639.10
  6. Step 6: Final answer
    x = 204,230.40

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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.