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Finding the Fourth Proportional to 610,403.21, 914,675.33 and 310,434.29

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Solution

The fourth proportional to 610,403.21, 914,675.33 and 310,434.29 is: 465,178.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,403.21 : 914,675.33 = 310,434.29 : x
  2. Step 2: Convert to fraction form
    610,403.21/914,675.33 = 310,434.29/x
  3. Step 3: Cross multiply
    610,403.21x = 914,675.33 × 310,434.29
  4. Step 4: Simplify right side
    610,403.21x = 283,946,586,649.07
  5. Step 5: Solve for x
    x = 283,946,586,649.07/610,403.21
  6. Step 6: Final answer
    x = 465,178.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.