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Finding the Fourth Proportional to 610,405.41, 842,369.55 and 338,484.78

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Solution

The fourth proportional to 610,405.41, 842,369.55 and 338,484.78 is: 467,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,405.41 : 842,369.55 = 338,484.78 : x
  2. Step 2: Convert to fraction form
    610,405.41/842,369.55 = 338,484.78/x
  3. Step 3: Cross multiply
    610,405.41x = 842,369.55 × 338,484.78
  4. Step 4: Simplify right side
    610,405.41x = 285,129,271,810.45
  5. Step 5: Solve for x
    x = 285,129,271,810.45/610,405.41
  6. Step 6: Final answer
    x = 467,114.59

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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.