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Finding the Fourth Proportional to 380,567.77, 570,439.02 and 190,570.10

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Solution

The fourth proportional to 380,567.77, 570,439.02 and 190,570.10 is: 285,648.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,567.77 : 570,439.02 = 190,570.10 : x
  2. Step 2: Convert to fraction form
    380,567.77/570,439.02 = 190,570.10/x
  3. Step 3: Cross multiply
    380,567.77x = 570,439.02 × 190,570.10
  4. Step 4: Simplify right side
    380,567.77x = 108,708,618,947.75
  5. Step 5: Solve for x
    x = 108,708,618,947.75/380,567.77
  6. Step 6: Final answer
    x = 285,648.52

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1.5x scale

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.