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Finding the Fourth Proportional to 656,384.34, 905,978.93 and 427,511.96

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Solution

The fourth proportional to 656,384.34, 905,978.93 and 427,511.96 is: 590,076.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,384.34 : 905,978.93 = 427,511.96 : x
  2. Step 2: Convert to fraction form
    656,384.34/905,978.93 = 427,511.96/x
  3. Step 3: Cross multiply
    656,384.34x = 905,978.93 × 427,511.96
  4. Step 4: Simplify right side
    656,384.34x = 387,316,828,083.00
  5. Step 5: Solve for x
    x = 387,316,828,083.00/656,384.34
  6. Step 6: Final answer
    x = 590,076.28

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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.