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Finding the Fourth Proportional to 514,126.44, 708,814.80 and 421,909.56

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Solution

The fourth proportional to 514,126.44, 708,814.80 and 421,909.56 is: 581,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,126.44 : 708,814.80 = 421,909.56 : x
  2. Step 2: Convert to fraction form
    514,126.44/708,814.80 = 421,909.56/x
  3. Step 3: Cross multiply
    514,126.44x = 708,814.80 × 421,909.56
  4. Step 4: Simplify right side
    514,126.44x = 299,055,740,389.49
  5. Step 5: Solve for x
    x = 299,055,740,389.49/514,126.44
  6. Step 6: Final answer
    x = 581,677.42

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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.