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Finding the Fourth Proportional to 380,458.30, 570,669.68 and 155,763.19

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Solution

The fourth proportional to 380,458.30, 570,669.68 and 155,763.19 is: 233,637.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,458.30 : 570,669.68 = 155,763.19 : x
  2. Step 2: Convert to fraction form
    380,458.30/570,669.68 = 155,763.19/x
  3. Step 3: Cross multiply
    380,458.30x = 570,669.68 × 155,763.19
  4. Step 4: Simplify right side
    380,458.30x = 88,889,327,587.59
  5. Step 5: Solve for x
    x = 88,889,327,587.59/380,458.30
  6. Step 6: Final answer
    x = 233,637.51

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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.