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Finding the Fourth Proportional to 407,718.82, 611,335.94 and 155,017.80

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Solution

The fourth proportional to 407,718.82, 611,335.94 and 155,017.80 is: 232,434.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,718.82 : 611,335.94 = 155,017.80 : x
  2. Step 2: Convert to fraction form
    407,718.82/611,335.94 = 155,017.80/x
  3. Step 3: Cross multiply
    407,718.82x = 611,335.94 × 155,017.80
  4. Step 4: Simplify right side
    407,718.82x = 94,767,952,479.73
  5. Step 5: Solve for x
    x = 94,767,952,479.73/407,718.82
  6. Step 6: Final answer
    x = 232,434.58

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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.