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Finding the Fourth Proportional to 493,416.24, 680,702.10 and 289,529.52

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Solution

The fourth proportional to 493,416.24, 680,702.10 and 289,529.52 is: 399,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,416.24 : 680,702.10 = 289,529.52 : x
  2. Step 2: Convert to fraction form
    493,416.24/680,702.10 = 289,529.52/x
  3. Step 3: Cross multiply
    493,416.24x = 680,702.10 × 289,529.52
  4. Step 4: Simplify right side
    493,416.24x = 197,083,352,275.99
  5. Step 5: Solve for x
    x = 197,083,352,275.99/493,416.24
  6. Step 6: Final answer
    x = 399,426.16

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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.