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Finding the Fourth Proportional to 346,711.96, 478,496.46 and 210,734.02

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Solution

The fourth proportional to 346,711.96, 478,496.46 and 210,734.02 is: 290,833.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,711.96 : 478,496.46 = 210,734.02 : x
  2. Step 2: Convert to fraction form
    346,711.96/478,496.46 = 210,734.02/x
  3. Step 3: Cross multiply
    346,711.96x = 478,496.46 × 210,734.02
  4. Step 4: Simplify right side
    346,711.96x = 100,835,482,571.57
  5. Step 5: Solve for x
    x = 100,835,482,571.57/346,711.96
  6. Step 6: Final answer
    x = 290,833.59

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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.