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Finding the Fourth Proportional to 380,397.12, 570,602.16 and 143,851.20

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Solution

The fourth proportional to 380,397.12, 570,602.16 and 143,851.20 is: 215,779.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,397.12 : 570,602.16 = 143,851.20 : x
  2. Step 2: Convert to fraction form
    380,397.12/570,602.16 = 143,851.20/x
  3. Step 3: Cross multiply
    380,397.12x = 570,602.16 × 143,851.20
  4. Step 4: Simplify right side
    380,397.12x = 82,081,805,438.59
  5. Step 5: Solve for x
    x = 82,081,805,438.59/380,397.12
  6. Step 6: Final answer
    x = 215,779.25

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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.