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Finding the Fourth Proportional to 442,143.40, 661,803.90 and 348,831.40

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Solution

The fourth proportional to 442,143.40, 661,803.90 and 348,831.40 is: 522,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,143.40 : 661,803.90 = 348,831.40 : x
  2. Step 2: Convert to fraction form
    442,143.40/661,803.90 = 348,831.40/x
  3. Step 3: Cross multiply
    442,143.40x = 661,803.90 × 348,831.40
  4. Step 4: Simplify right side
    442,143.40x = 230,857,980,962.46
  5. Step 5: Solve for x
    x = 230,857,980,962.46/442,143.40
  6. Step 6: Final answer
    x = 522,133.73

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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.