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Finding the Fourth Proportional to 426,455.84, 639,992.40 and 166,831.74

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Solution

The fourth proportional to 426,455.84, 639,992.40 and 166,831.74 is: 250,368.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,455.84 : 639,992.40 = 166,831.74 : x
  2. Step 2: Convert to fraction form
    426,455.84/639,992.40 = 166,831.74/x
  3. Step 3: Cross multiply
    426,455.84x = 639,992.40 × 166,831.74
  4. Step 4: Simplify right side
    426,455.84x = 106,771,044,844.62
  5. Step 5: Solve for x
    x = 106,771,044,844.62/426,455.84
  6. Step 6: Final answer
    x = 250,368.35

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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.