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Finding the Fourth Proportional to 380,459.80, 570,671.93 and 155,764.69

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Solution

The fourth proportional to 380,459.80, 570,671.93 and 155,764.69 is: 233,639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,459.80 : 570,671.93 = 155,764.69 : x
  2. Step 2: Convert to fraction form
    380,459.80/570,671.93 = 155,764.69/x
  3. Step 3: Cross multiply
    380,459.80x = 570,671.93 × 155,764.69
  4. Step 4: Simplify right side
    380,459.80x = 88,890,534,062.65
  5. Step 5: Solve for x
    x = 88,890,534,062.65/380,459.80
  6. Step 6: Final answer
    x = 233,639.76

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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.