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Finding the Fourth Proportional to 432,079.80, 646,953.30 and 338,767.80

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Solution

The fourth proportional to 432,079.80, 646,953.30 and 338,767.80 is: 507,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,079.80 : 646,953.30 = 338,767.80 : x
  2. Step 2: Convert to fraction form
    432,079.80/646,953.30 = 338,767.80/x
  3. Step 3: Cross multiply
    432,079.80x = 646,953.30 × 338,767.80
  4. Step 4: Simplify right side
    432,079.80x = 219,166,946,143.74
  5. Step 5: Solve for x
    x = 219,166,946,143.74/432,079.80
  6. Step 6: Final answer
    x = 507,237.20

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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.