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Finding the Fourth Proportional to 493,722.94, 681,144.71 and 286,956.94

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Solution

The fourth proportional to 493,722.94, 681,144.71 and 286,956.94 is: 395,888.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,722.94 : 681,144.71 = 286,956.94 : x
  2. Step 2: Convert to fraction form
    493,722.94/681,144.71 = 286,956.94/x
  3. Step 3: Cross multiply
    493,722.94x = 681,144.71 × 286,956.94
  4. Step 4: Simplify right side
    493,722.94x = 195,459,201,678.79
  5. Step 5: Solve for x
    x = 195,459,201,678.79/493,722.94
  6. Step 6: Final answer
    x = 395,888.43

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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.