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Finding the Fourth Proportional to 286,707.94, 430,113.77 and 118,134.49

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Solution

The fourth proportional to 286,707.94, 430,113.77 and 118,134.49 is: 177,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,707.94 : 430,113.77 = 118,134.49 : x
  2. Step 2: Convert to fraction form
    286,707.94/430,113.77 = 118,134.49/x
  3. Step 3: Cross multiply
    286,707.94x = 430,113.77 × 118,134.49
  4. Step 4: Simplify right side
    286,707.94x = 50,811,270,270.25
  5. Step 5: Solve for x
    x = 50,811,270,270.25/286,707.94
  6. Step 6: Final answer
    x = 177,223.10

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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.