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Finding the Fourth Proportional to 380,318.59, 570,545.70 and 127,681.30

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Solution

The fourth proportional to 380,318.59, 570,545.70 and 127,681.30 is: 191,544.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,318.59 : 570,545.70 = 127,681.30 : x
  2. Step 2: Convert to fraction form
    380,318.59/570,545.70 = 127,681.30/x
  3. Step 3: Cross multiply
    380,318.59x = 570,545.70 × 127,681.30
  4. Step 4: Simplify right side
    380,318.59x = 72,848,016,685.41
  5. Step 5: Solve for x
    x = 72,848,016,685.41/380,318.59
  6. Step 6: Final answer
    x = 191,544.72

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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.