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Finding the Fourth Proportional to 394,718.40, 592,077.60 and 145,497.60

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Solution

The fourth proportional to 394,718.40, 592,077.60 and 145,497.60 is: 218,246.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,718.40 : 592,077.60 = 145,497.60 : x
  2. Step 2: Convert to fraction form
    394,718.40/592,077.60 = 145,497.60/x
  3. Step 3: Cross multiply
    394,718.40x = 592,077.60 × 145,497.60
  4. Step 4: Simplify right side
    394,718.40x = 86,145,869,813.76
  5. Step 5: Solve for x
    x = 86,145,869,813.76/394,718.40
  6. Step 6: Final answer
    x = 218,246.40

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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.