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Finding the Fourth Proportional to 346,542, 478,228.08 and 195,648.72

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Solution

The fourth proportional to 346,542, 478,228.08 and 195,648.72 is: 269,995.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,542 : 478,228.08 = 195,648.72 : x
  2. Step 2: Convert to fraction form
    346,542/478,228.08 = 195,648.72/x
  3. Step 3: Cross multiply
    346,542x = 478,228.08 × 195,648.72
  4. Step 4: Simplify right side
    346,542x = 93,564,711,720.06
  5. Step 5: Solve for x
    x = 93,564,711,720.06/346,542
  6. Step 6: Final answer
    x = 269,995.30

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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.