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Finding the Fourth Proportional to 531,494.31, 733,465.47 and 289,780.92

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Solution

The fourth proportional to 531,494.31, 733,465.47 and 289,780.92 is: 399,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,494.31 : 733,465.47 = 289,780.92 : x
  2. Step 2: Convert to fraction form
    531,494.31/733,465.47 = 289,780.92/x
  3. Step 3: Cross multiply
    531,494.31x = 733,465.47 × 289,780.92
  4. Step 4: Simplify right side
    531,494.31x = 212,544,295,671.12
  5. Step 5: Solve for x
    x = 212,544,295,671.12/531,494.31
  6. Step 6: Final answer
    x = 399,899.48

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Double scale
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1.5x scale

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.