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Finding the Fourth Proportional to 859,978.05, 1,186,783.92 and 472,809.84

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Solution

The fourth proportional to 859,978.05, 1,186,783.92 and 472,809.84 is: 652,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    859,978.05 : 1,186,783.92 = 472,809.84 : x
  2. Step 2: Convert to fraction form
    859,978.05/1,186,783.92 = 472,809.84/x
  3. Step 3: Cross multiply
    859,978.05x = 1,186,783.92 × 472,809.84
  4. Step 4: Simplify right side
    859,978.05x = 561,123,115,329.77
  5. Step 5: Solve for x
    x = 561,123,115,329.77/859,978.05
  6. Step 6: Final answer
    x = 652,485.39

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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.