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Finding the Fourth Proportional to 616,412.34, 850,652.18 and 344,484.78

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Solution

The fourth proportional to 616,412.34, 850,652.18 and 344,484.78 is: 475,390.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,412.34 : 850,652.18 = 344,484.78 : x
  2. Step 2: Convert to fraction form
    616,412.34/850,652.18 = 344,484.78/x
  3. Step 3: Cross multiply
    616,412.34x = 850,652.18 × 344,484.78
  4. Step 4: Simplify right side
    616,412.34x = 293,036,729,083.82
  5. Step 5: Solve for x
    x = 293,036,729,083.82/616,412.34
  6. Step 6: Final answer
    x = 475,390.76

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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.