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Finding the Fourth Proportional to 443,384.60, 664,688.10 and 265,962.20

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Solution

The fourth proportional to 443,384.60, 664,688.10 and 265,962.20 is: 398,710.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,384.60 : 664,688.10 = 265,962.20 : x
  2. Step 2: Convert to fraction form
    443,384.60/664,688.10 = 265,962.20/x
  3. Step 3: Cross multiply
    443,384.60x = 664,688.10 × 265,962.20
  4. Step 4: Simplify right side
    443,384.60x = 176,781,909,389.82
  5. Step 5: Solve for x
    x = 176,781,909,389.82/443,384.60
  6. Step 6: Final answer
    x = 398,710.08

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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.