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Finding the Fourth Proportional to 342,256.32, 513,165.78 and 164,409.48

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Solution

The fourth proportional to 342,256.32, 513,165.78 and 164,409.48 is: 246,509.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,256.32 : 513,165.78 = 164,409.48 : x
  2. Step 2: Convert to fraction form
    342,256.32/513,165.78 = 164,409.48/x
  3. Step 3: Cross multiply
    342,256.32x = 513,165.78 × 164,409.48
  4. Step 4: Simplify right side
    342,256.32x = 84,369,319,043.59
  5. Step 5: Solve for x
    x = 84,369,319,043.59/342,256.32
  6. Step 6: Final answer
    x = 246,509.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.