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Finding the Fourth Proportional to 307,434.30, 424,291.95 and 180,216.78

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Solution

The fourth proportional to 307,434.30, 424,291.95 and 180,216.78 is: 248,718.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,434.30 : 424,291.95 = 180,216.78 : x
  2. Step 2: Convert to fraction form
    307,434.30/424,291.95 = 180,216.78/x
  3. Step 3: Cross multiply
    307,434.30x = 424,291.95 × 180,216.78
  4. Step 4: Simplify right side
    307,434.30x = 76,464,529,008.92
  5. Step 5: Solve for x
    x = 76,464,529,008.92/307,434.30
  6. Step 6: Final answer
    x = 248,718.28

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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.