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Finding the Fourth Proportional to 286,753.48, 430,200.97 and 142,727.92

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Solution

The fourth proportional to 286,753.48, 430,200.97 and 142,727.92 is: 214,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,753.48 : 430,200.97 = 142,727.92 : x
  2. Step 2: Convert to fraction form
    286,753.48/430,200.97 = 142,727.92/x
  3. Step 3: Cross multiply
    286,753.48x = 430,200.97 × 142,727.92
  4. Step 4: Simplify right side
    286,753.48x = 61,401,688,197.76
  5. Step 5: Solve for x
    x = 61,401,688,197.76/286,753.48
  6. Step 6: Final answer
    x = 214,127.09

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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.