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Finding the Fourth Proportional to 261,547.84, 391,826.58 and 154,611.64

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Solution

The fourth proportional to 261,547.84, 391,826.58 and 154,611.64 is: 231,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,547.84 : 391,826.58 = 154,611.64 : x
  2. Step 2: Convert to fraction form
    261,547.84/391,826.58 = 154,611.64/x
  3. Step 3: Cross multiply
    261,547.84x = 391,826.58 × 154,611.64
  4. Step 4: Simplify right side
    261,547.84x = 60,580,950,129.39
  5. Step 5: Solve for x
    x = 60,580,950,129.39/261,547.84
  6. Step 6: Final answer
    x = 231,624.74

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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.