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Finding the Fourth Proportional to 380,436.55, 570,903.80 and 143,779.25

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Solution

The fourth proportional to 380,436.55, 570,903.80 and 143,779.25 is: 215,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,436.55 : 570,903.80 = 143,779.25 : x
  2. Step 2: Convert to fraction form
    380,436.55/570,903.80 = 143,779.25/x
  3. Step 3: Cross multiply
    380,436.55x = 570,903.80 × 143,779.25
  4. Step 4: Simplify right side
    380,436.55x = 82,084,120,894.51
  5. Step 5: Solve for x
    x = 82,084,120,894.51/380,436.55
  6. Step 6: Final answer
    x = 215,762.97

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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.