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Finding the Fourth Proportional to 287,302.51, 430,654.30 and 160,757.22

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Solution

The fourth proportional to 287,302.51, 430,654.30 and 160,757.22 is: 240,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,302.51 : 430,654.30 = 160,757.22 : x
  2. Step 2: Convert to fraction form
    287,302.51/430,654.30 = 160,757.22/x
  3. Step 3: Cross multiply
    287,302.51x = 430,654.30 × 160,757.22
  4. Step 4: Simplify right side
    287,302.51x = 69,230,787,647.15
  5. Step 5: Solve for x
    x = 69,230,787,647.15/287,302.51
  6. Step 6: Final answer
    x = 240,968.27

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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.