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Finding the Fourth Proportional to 287,658.35, 431,188.16 and 161,113.05

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Solution

The fourth proportional to 287,658.35, 431,188.16 and 161,113.05 is: 241,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,658.35 : 431,188.16 = 161,113.05 : x
  2. Step 2: Convert to fraction form
    287,658.35/431,188.16 = 161,113.05/x
  3. Step 3: Cross multiply
    287,658.35x = 431,188.16 × 161,113.05
  4. Step 4: Simplify right side
    287,658.35x = 69,470,038,775.92
  5. Step 5: Solve for x
    x = 69,470,038,775.92/287,658.35
  6. Step 6: Final answer
    x = 241,501.91

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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.