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Finding the Fourth Proportional to 610,376.66, 842,329.88 and 338,456.02

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Solution

The fourth proportional to 610,376.66, 842,329.88 and 338,456.02 is: 467,074.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,376.66 : 842,329.88 = 338,456.02 : x
  2. Step 2: Convert to fraction form
    610,376.66/842,329.88 = 338,456.02/x
  3. Step 3: Cross multiply
    610,376.66x = 842,329.88 × 338,456.02
  4. Step 4: Simplify right side
    610,376.66x = 285,091,614,913.77
  5. Step 5: Solve for x
    x = 285,091,614,913.77/610,376.66
  6. Step 6: Final answer
    x = 467,074.89

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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.