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Finding the Fourth Proportional to 294,219.66, 404,749 and 257,756.90

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Solution

The fourth proportional to 294,219.66, 404,749 and 257,756.90 is: 354,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,219.66 : 404,749 = 257,756.90 : x
  2. Step 2: Convert to fraction form
    294,219.66/404,749 = 257,756.90/x
  3. Step 3: Cross multiply
    294,219.66x = 404,749 × 257,756.90
  4. Step 4: Simplify right side
    294,219.66x = 104,326,847,518.10
  5. Step 5: Solve for x
    x = 104,326,847,518.10/294,219.66
  6. Step 6: Final answer
    x = 354,588.29

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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.