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Finding the Fourth Proportional to 200,302.64, 300,510.48 and 100,342.16

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Solution

The fourth proportional to 200,302.64, 300,510.48 and 100,342.16 is: 150,541.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,302.64 : 300,510.48 = 100,342.16 : x
  2. Step 2: Convert to fraction form
    200,302.64/300,510.48 = 100,342.16/x
  3. Step 3: Cross multiply
    200,302.64x = 300,510.48 × 100,342.16
  4. Step 4: Simplify right side
    200,302.64x = 30,153,870,665.84
  5. Step 5: Solve for x
    x = 30,153,870,665.84/200,302.64
  6. Step 6: Final answer
    x = 150,541.55

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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.