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Finding the Fourth Proportional to 315,313.50, 435,141.81 and 172,082.70

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Solution

The fourth proportional to 315,313.50, 435,141.81 and 172,082.70 is: 237,479.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,313.50 : 435,141.81 = 172,082.70 : x
  2. Step 2: Convert to fraction form
    315,313.50/435,141.81 = 172,082.70/x
  3. Step 3: Cross multiply
    315,313.50x = 435,141.81 × 172,082.70
  4. Step 4: Simplify right side
    315,313.50x = 74,880,377,547.69
  5. Step 5: Solve for x
    x = 74,880,377,547.69/315,313.50
  6. Step 6: Final answer
    x = 237,479.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.