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Finding the Fourth Proportional to 315,318.74, 435,026.07 and 242,743.86

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Solution

The fourth proportional to 315,318.74, 435,026.07 and 242,743.86 is: 334,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,318.74 : 435,026.07 = 242,743.86 : x
  2. Step 2: Convert to fraction form
    315,318.74/435,026.07 = 242,743.86/x
  3. Step 3: Cross multiply
    315,318.74x = 435,026.07 × 242,743.86
  4. Step 4: Simplify right side
    315,318.74x = 105,599,907,432.43
  5. Step 5: Solve for x
    x = 105,599,907,432.43/315,318.74
  6. Step 6: Final answer
    x = 334,898.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.