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Finding the Fourth Proportional to 514,381.59, 709,872.05 and 310,429.26

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Solution

The fourth proportional to 514,381.59, 709,872.05 and 310,429.26 is: 428,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,381.59 : 709,872.05 = 310,429.26 : x
  2. Step 2: Convert to fraction form
    514,381.59/709,872.05 = 310,429.26/x
  3. Step 3: Cross multiply
    514,381.59x = 709,872.05 × 310,429.26
  4. Step 4: Simplify right side
    514,381.59x = 220,365,055,952.26
  5. Step 5: Solve for x
    x = 220,365,055,952.26/514,381.59
  6. Step 6: Final answer
    x = 428,407.74

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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.