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Finding the Fourth Proportional to 342,871.20, 478,838.70 and 342,871.20

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Solution

The fourth proportional to 342,871.20, 478,838.70 and 342,871.20 is: 478,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,871.20 : 478,838.70 = 342,871.20 : x
  2. Step 2: Convert to fraction form
    342,871.20/478,838.70 = 342,871.20/x
  3. Step 3: Cross multiply
    342,871.20x = 478,838.70 × 342,871.20
  4. Step 4: Simplify right side
    342,871.20x = 164,179,999,675.44
  5. Step 5: Solve for x
    x = 164,179,999,675.44/342,871.20
  6. Step 6: Final answer
    x = 478,838.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.