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Finding the Fourth Proportional to 443,920.40, 665,929.20 and 429,923.60

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Solution

The fourth proportional to 443,920.40, 665,929.20 and 429,923.60 is: 644,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,920.40 : 665,929.20 = 429,923.60 : x
  2. Step 2: Convert to fraction form
    443,920.40/665,929.20 = 429,923.60/x
  3. Step 3: Cross multiply
    443,920.40x = 665,929.20 × 429,923.60
  4. Step 4: Simplify right side
    443,920.40x = 286,298,679,009.12
  5. Step 5: Solve for x
    x = 286,298,679,009.12/443,920.40
  6. Step 6: Final answer
    x = 644,932.47

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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.