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Finding the Fourth Proportional to 531,125.10, 732,943.16 and 289,409.76

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Solution

The fourth proportional to 531,125.10, 732,943.16 and 289,409.76 is: 399,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,125.10 : 732,943.16 = 289,409.76 : x
  2. Step 2: Convert to fraction form
    531,125.10/732,943.16 = 289,409.76/x
  3. Step 3: Cross multiply
    531,125.10x = 732,943.16 × 289,409.76
  4. Step 4: Simplify right side
    531,125.10x = 212,120,902,582.19
  5. Step 5: Solve for x
    x = 212,120,902,582.19/531,125.10
  6. Step 6: Final answer
    x = 399,380.30

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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.