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Finding the Fourth Proportional to 610,129.84, 914,767.80 and 439,461.76

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Solution

The fourth proportional to 610,129.84, 914,767.80 and 439,461.76 is: 658,885.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,129.84 : 914,767.80 = 439,461.76 : x
  2. Step 2: Convert to fraction form
    610,129.84/914,767.80 = 439,461.76/x
  3. Step 3: Cross multiply
    610,129.84x = 914,767.80 × 439,461.76
  4. Step 4: Simplify right side
    610,129.84x = 402,005,467,379.33
  5. Step 5: Solve for x
    x = 402,005,467,379.33/610,129.84
  6. Step 6: Final answer
    x = 658,885.11

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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.