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Finding the Fourth Proportional to 286,707.96, 430,113.78 and 118,134.51

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Solution

The fourth proportional to 286,707.96, 430,113.78 and 118,134.51 is: 177,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,707.96 : 430,113.78 = 118,134.51 : x
  2. Step 2: Convert to fraction form
    286,707.96/430,113.78 = 118,134.51/x
  3. Step 3: Cross multiply
    286,707.96x = 430,113.78 × 118,134.51
  4. Step 4: Simplify right side
    286,707.96x = 50,811,280,644.55
  5. Step 5: Solve for x
    x = 50,811,280,644.55/286,707.96
  6. Step 6: Final answer
    x = 177,223.13

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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.