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Finding the Fourth Proportional to 289,416.84, 431,558.85 and 270,112.92

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Solution

The fourth proportional to 289,416.84, 431,558.85 and 270,112.92 is: 402,774.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,416.84 : 431,558.85 = 270,112.92 : x
  2. Step 2: Convert to fraction form
    289,416.84/431,558.85 = 270,112.92/x
  3. Step 3: Cross multiply
    289,416.84x = 431,558.85 × 270,112.92
  4. Step 4: Simplify right side
    289,416.84x = 116,569,621,125.34
  5. Step 5: Solve for x
    x = 116,569,621,125.34/289,416.84
  6. Step 6: Final answer
    x = 402,774.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.