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Finding the Fourth Proportional to 205,997.40, 284,303.79 and 115,358.40

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Solution

The fourth proportional to 205,997.40, 284,303.79 and 115,358.40 is: 159,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,997.40 : 284,303.79 = 115,358.40 : x
  2. Step 2: Convert to fraction form
    205,997.40/284,303.79 = 115,358.40/x
  3. Step 3: Cross multiply
    205,997.40x = 284,303.79 × 115,358.40
  4. Step 4: Simplify right side
    205,997.40x = 32,796,830,328.34
  5. Step 5: Solve for x
    x = 32,796,830,328.34/205,997.40
  6. Step 6: Final answer
    x = 159,209.92

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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.