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Finding the Fourth Proportional to 531,646.20, 733,671.30 and 289,929.24

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Solution

The fourth proportional to 531,646.20, 733,671.30 and 289,929.24 is: 400,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,646.20 : 733,671.30 = 289,929.24 : x
  2. Step 2: Convert to fraction form
    531,646.20/733,671.30 = 289,929.24/x
  3. Step 3: Cross multiply
    531,646.20x = 733,671.30 × 289,929.24
  4. Step 4: Simplify right side
    531,646.20x = 212,712,762,418.81
  5. Step 5: Solve for x
    x = 212,712,762,418.81/531,646.20
  6. Step 6: Final answer
    x = 400,102.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.