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Finding the Fourth Proportional to 426,946.80, 640,433.16 and 146,460

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Solution

The fourth proportional to 426,946.80, 640,433.16 and 146,460 is: 219,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,946.80 : 640,433.16 = 146,460 : x
  2. Step 2: Convert to fraction form
    426,946.80/640,433.16 = 146,460/x
  3. Step 3: Cross multiply
    426,946.80x = 640,433.16 × 146,460
  4. Step 4: Simplify right side
    426,946.80x = 93,797,840,613.60
  5. Step 5: Solve for x
    x = 93,797,840,613.60/426,946.80
  6. Step 6: Final answer
    x = 219,694.45

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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.