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Finding the Fourth Proportional to 488,729.70, 733,094.55 and 429,680.70

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Solution

The fourth proportional to 488,729.70, 733,094.55 and 429,680.70 is: 644,521.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,729.70 : 733,094.55 = 429,680.70 : x
  2. Step 2: Convert to fraction form
    488,729.70/733,094.55 = 429,680.70/x
  3. Step 3: Cross multiply
    488,729.70x = 733,094.55 × 429,680.70
  4. Step 4: Simplify right side
    488,729.70x = 314,996,579,410.19
  5. Step 5: Solve for x
    x = 314,996,579,410.19/488,729.70
  6. Step 6: Final answer
    x = 644,521.05

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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.