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Finding the Fourth Proportional to 258,854.46, 388,459.02 and 90,374.81

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Solution

The fourth proportional to 258,854.46, 388,459.02 and 90,374.81 is: 135,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,854.46 : 388,459.02 = 90,374.81 : x
  2. Step 2: Convert to fraction form
    258,854.46/388,459.02 = 90,374.81/x
  3. Step 3: Cross multiply
    258,854.46x = 388,459.02 × 90,374.81
  4. Step 4: Simplify right side
    258,854.46x = 35,106,908,182.99
  5. Step 5: Solve for x
    x = 35,106,908,182.99/258,854.46
  6. Step 6: Final answer
    x = 135,624.12

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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.