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Finding the Fourth Proportional to 531,451.89, 733,409.15 and 289,733.13

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Solution

The fourth proportional to 531,451.89, 733,409.15 and 289,733.13 is: 399,834.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,451.89 : 733,409.15 = 289,733.13 : x
  2. Step 2: Convert to fraction form
    531,451.89/733,409.15 = 289,733.13/x
  3. Step 3: Cross multiply
    531,451.89x = 733,409.15 × 289,733.13
  4. Step 4: Simplify right side
    531,451.89x = 212,492,927,151.47
  5. Step 5: Solve for x
    x = 212,492,927,151.47/531,451.89
  6. Step 6: Final answer
    x = 399,834.74

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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.