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Finding the Fourth Proportional to 242,458.84, 334,569.22 and 135,038.86

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Solution

The fourth proportional to 242,458.84, 334,569.22 and 135,038.86 is: 186,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,458.84 : 334,569.22 = 135,038.86 : x
  2. Step 2: Convert to fraction form
    242,458.84/334,569.22 = 135,038.86/x
  3. Step 3: Cross multiply
    242,458.84x = 334,569.22 × 135,038.86
  4. Step 4: Simplify right side
    242,458.84x = 45,179,846,059.89
  5. Step 5: Solve for x
    x = 45,179,846,059.89/242,458.84
  6. Step 6: Final answer
    x = 186,340.27

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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.