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Finding the Fourth Proportional to 340,143.62, 469,402.50 and 187,199.42

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Solution

The fourth proportional to 340,143.62, 469,402.50 and 187,199.42 is: 258,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,143.62 : 469,402.50 = 187,199.42 : x
  2. Step 2: Convert to fraction form
    340,143.62/469,402.50 = 187,199.42/x
  3. Step 3: Cross multiply
    340,143.62x = 469,402.50 × 187,199.42
  4. Step 4: Simplify right side
    340,143.62x = 87,871,875,746.55
  5. Step 5: Solve for x
    x = 87,871,875,746.55/340,143.62
  6. Step 6: Final answer
    x = 258,337.57

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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.