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Finding the Fourth Proportional to 420,159.94, 579,717.21 and 256,774.66

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Solution

The fourth proportional to 420,159.94, 579,717.21 and 256,774.66 is: 354,285.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,159.94 : 579,717.21 = 256,774.66 : x
  2. Step 2: Convert to fraction form
    420,159.94/579,717.21 = 256,774.66/x
  3. Step 3: Cross multiply
    420,159.94x = 579,717.21 × 256,774.66
  4. Step 4: Simplify right side
    420,159.94x = 148,856,689,493.90
  5. Step 5: Solve for x
    x = 148,856,689,493.90/420,159.94
  6. Step 6: Final answer
    x = 354,285.77

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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.