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Finding the Fourth Proportional to 656,878.06, 906,021.48 and 427,006.54

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Solution

The fourth proportional to 656,878.06, 906,021.48 and 427,006.54 is: 588,963.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,878.06 : 906,021.48 = 427,006.54 : x
  2. Step 2: Convert to fraction form
    656,878.06/906,021.48 = 427,006.54/x
  3. Step 3: Cross multiply
    656,878.06x = 906,021.48 × 427,006.54
  4. Step 4: Simplify right side
    656,878.06x = 386,877,097,340.48
  5. Step 5: Solve for x
    x = 386,877,097,340.48/656,878.06
  6. Step 6: Final answer
    x = 588,963.34

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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.