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Finding the Fourth Proportional to 312,342.47, 468,315.50 and 264,973.86

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Solution

The fourth proportional to 312,342.47, 468,315.50 and 264,973.86 is: 397,292.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,342.47 : 468,315.50 = 264,973.86 : x
  2. Step 2: Convert to fraction form
    312,342.47/468,315.50 = 264,973.86/x
  3. Step 3: Cross multiply
    312,342.47x = 468,315.50 × 264,973.86
  4. Step 4: Simplify right side
    312,342.47x = 124,091,364,407.96
  5. Step 5: Solve for x
    x = 124,091,364,407.96/312,342.47
  6. Step 6: Final answer
    x = 397,292.65

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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.