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Finding the Fourth Proportional to 456,309.09, 684,510.59 and 172,238.92

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Solution

The fourth proportional to 456,309.09, 684,510.59 and 172,238.92 is: 258,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,309.09 : 684,510.59 = 172,238.92 : x
  2. Step 2: Convert to fraction form
    456,309.09/684,510.59 = 172,238.92/x
  3. Step 3: Cross multiply
    456,309.09x = 684,510.59 × 172,238.92
  4. Step 4: Simplify right side
    456,309.09x = 117,899,364,750.16
  5. Step 5: Solve for x
    x = 117,899,364,750.16/456,309.09
  6. Step 6: Final answer
    x = 258,376.10

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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.