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Finding the Fourth Proportional to 366,967, 506,416.25 and 205,830.65

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Solution

The fourth proportional to 366,967, 506,416.25 and 205,830.65 is: 284,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,967 : 506,416.25 = 205,830.65 : x
  2. Step 2: Convert to fraction form
    366,967/506,416.25 = 205,830.65/x
  3. Step 3: Cross multiply
    366,967x = 506,416.25 × 205,830.65
  4. Step 4: Simplify right side
    366,967x = 104,235,985,908.06
  5. Step 5: Solve for x
    x = 104,235,985,908.06/366,967
  6. Step 6: Final answer
    x = 284,047.30

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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.