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Finding the Fourth Proportional to 475,005.12, 712,509.04 and 115,174.54

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Solution

The fourth proportional to 475,005.12, 712,509.04 and 115,174.54 is: 172,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,005.12 : 712,509.04 = 115,174.54 : x
  2. Step 2: Convert to fraction form
    475,005.12/712,509.04 = 115,174.54/x
  3. Step 3: Cross multiply
    475,005.12x = 712,509.04 × 115,174.54
  4. Step 4: Simplify right side
    475,005.12x = 82,062,900,927.84
  5. Step 5: Solve for x
    x = 82,062,900,927.84/475,005.12
  6. Step 6: Final answer
    x = 172,762.14

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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.