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Finding the Fourth Proportional to 287,667.89, 430,976.96 and 160,646.93

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Solution

The fourth proportional to 287,667.89, 430,976.96 and 160,646.93 is: 240,677.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,667.89 : 430,976.96 = 160,646.93 : x
  2. Step 2: Convert to fraction form
    287,667.89/430,976.96 = 160,646.93/x
  3. Step 3: Cross multiply
    287,667.89x = 430,976.96 × 160,646.93
  4. Step 4: Simplify right side
    287,667.89x = 69,235,124,721.50
  5. Step 5: Solve for x
    x = 69,235,124,721.50/287,667.89
  6. Step 6: Final answer
    x = 240,677.28

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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.