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Finding the Fourth Proportional to 531,411.96, 733,341.42 and 289,690.68

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Solution

The fourth proportional to 531,411.96, 733,341.42 and 289,690.68 is: 399,769.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,411.96 : 733,341.42 = 289,690.68 : x
  2. Step 2: Convert to fraction form
    531,411.96/733,341.42 = 289,690.68/x
  3. Step 3: Cross multiply
    531,411.96x = 733,341.42 × 289,690.68
  4. Step 4: Simplify right side
    531,411.96x = 212,442,174,631.97
  5. Step 5: Solve for x
    x = 212,442,174,631.97/531,411.96
  6. Step 6: Final answer
    x = 399,769.28

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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.