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Finding the Fourth Proportional to 287,515.65, 430,720.73 and 160,771.48

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Solution

The fourth proportional to 287,515.65, 430,720.73 and 160,771.48 is: 240,848.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,515.65 : 430,720.73 = 160,771.48 : x
  2. Step 2: Convert to fraction form
    287,515.65/430,720.73 = 160,771.48/x
  3. Step 3: Cross multiply
    287,515.65x = 430,720.73 × 160,771.48
  4. Step 4: Simplify right side
    287,515.65x = 69,247,609,228.78
  5. Step 5: Solve for x
    x = 69,247,609,228.78/287,515.65
  6. Step 6: Final answer
    x = 240,848.14

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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.