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Finding the Fourth Proportional to 253,005.01, 348,920.73 and 209,916.16

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Solution

The fourth proportional to 253,005.01, 348,920.73 and 209,916.16 is: 289,496.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,005.01 : 348,920.73 = 209,916.16 : x
  2. Step 2: Convert to fraction form
    253,005.01/348,920.73 = 209,916.16/x
  3. Step 3: Cross multiply
    253,005.01x = 348,920.73 × 209,916.16
  4. Step 4: Simplify right side
    253,005.01x = 73,244,098,913.70
  5. Step 5: Solve for x
    x = 73,244,098,913.70/253,005.01
  6. Step 6: Final answer
    x = 289,496.64

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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.