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Finding the Fourth Proportional to 371,681.16, 512,903.54 and 210,532.97

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Solution

The fourth proportional to 371,681.16, 512,903.54 and 210,532.97 is: 290,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,681.16 : 512,903.54 = 210,532.97 : x
  2. Step 2: Convert to fraction form
    371,681.16/512,903.54 = 210,532.97/x
  3. Step 3: Cross multiply
    371,681.16x = 512,903.54 × 210,532.97
  4. Step 4: Simplify right side
    371,681.16x = 107,983,101,982.53
  5. Step 5: Solve for x
    x = 107,983,101,982.53/371,681.16
  6. Step 6: Final answer
    x = 290,526.16

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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.