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Finding the Fourth Proportional to 506,894.90, 699,437.04 and 291,993

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Solution

The fourth proportional to 506,894.90, 699,437.04 and 291,993 is: 402,905.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,894.90 : 699,437.04 = 291,993 : x
  2. Step 2: Convert to fraction form
    506,894.90/699,437.04 = 291,993/x
  3. Step 3: Cross multiply
    506,894.90x = 699,437.04 × 291,993
  4. Step 4: Simplify right side
    506,894.90x = 204,230,719,620.72
  5. Step 5: Solve for x
    x = 204,230,719,620.72/506,894.90
  6. Step 6: Final answer
    x = 402,905.45

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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.