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Finding the Fourth Proportional to 456,308.09, 684,509.09 and 172,237.92

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Solution

The fourth proportional to 456,308.09, 684,509.09 and 172,237.92 is: 258,374.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,308.09 : 684,509.09 = 172,237.92 : x
  2. Step 2: Convert to fraction form
    456,308.09/684,509.09 = 172,237.92/x
  3. Step 3: Cross multiply
    456,308.09x = 684,509.09 × 172,237.92
  4. Step 4: Simplify right side
    456,308.09x = 117,898,421,882.69
  5. Step 5: Solve for x
    x = 117,898,421,882.69/456,308.09
  6. Step 6: Final answer
    x = 258,374.60

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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.