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Finding the Fourth Proportional to 369,850.34, 510,388.47 and 206,509.38

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Solution

The fourth proportional to 369,850.34, 510,388.47 and 206,509.38 is: 284,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,850.34 : 510,388.47 = 206,509.38 : x
  2. Step 2: Convert to fraction form
    369,850.34/510,388.47 = 206,509.38/x
  3. Step 3: Cross multiply
    369,850.34x = 510,388.47 × 206,509.38
  4. Step 4: Simplify right side
    369,850.34x = 105,400,006,498.85
  5. Step 5: Solve for x
    x = 105,400,006,498.85/369,850.34
  6. Step 6: Final answer
    x = 284,980.16

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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.