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Finding the Fourth Proportional to 380,041.80, 570,062.70 and 155,254.65

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Solution

The fourth proportional to 380,041.80, 570,062.70 and 155,254.65 is: 232,881.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,041.80 : 570,062.70 = 155,254.65 : x
  2. Step 2: Convert to fraction form
    380,041.80/570,062.70 = 155,254.65/x
  3. Step 3: Cross multiply
    380,041.80x = 570,062.70 × 155,254.65
  4. Step 4: Simplify right side
    380,041.80x = 88,504,884,966.56
  5. Step 5: Solve for x
    x = 88,504,884,966.56/380,041.80
  6. Step 6: Final answer
    x = 232,881.98

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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.