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Finding the Fourth Proportional to 513,967.40, 708,595.48 and 421,748.90

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Solution

The fourth proportional to 513,967.40, 708,595.48 and 421,748.90 is: 581,455.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,967.40 : 708,595.48 = 421,748.90 : x
  2. Step 2: Convert to fraction form
    513,967.40/708,595.48 = 421,748.90/x
  3. Step 3: Cross multiply
    513,967.40x = 708,595.48 × 421,748.90
  4. Step 4: Simplify right side
    513,967.40x = 298,849,364,234.97
  5. Step 5: Solve for x
    x = 298,849,364,234.97/513,967.40
  6. Step 6: Final answer
    x = 581,455.87

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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.