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Finding the Fourth Proportional to 371,035.72, 512,029.47 and 209,887.36

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Solution

The fourth proportional to 371,035.72, 512,029.47 and 209,887.36 is: 289,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,035.72 : 512,029.47 = 209,887.36 : x
  2. Step 2: Convert to fraction form
    371,035.72/512,029.47 = 209,887.36/x
  3. Step 3: Cross multiply
    371,035.72x = 512,029.47 × 209,887.36
  4. Step 4: Simplify right side
    371,035.72x = 107,468,513,700.50
  5. Step 5: Solve for x
    x = 107,468,513,700.50/371,035.72
  6. Step 6: Final answer
    x = 289,644.66

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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.