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Finding the Fourth Proportional to 559,564.20, 839,346.30 and 138,840.08

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Solution

The fourth proportional to 559,564.20, 839,346.30 and 138,840.08 is: 208,260.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,564.20 : 839,346.30 = 138,840.08 : x
  2. Step 2: Convert to fraction form
    559,564.20/839,346.30 = 138,840.08/x
  3. Step 3: Cross multiply
    559,564.20x = 839,346.30 × 138,840.08
  4. Step 4: Simplify right side
    559,564.20x = 116,534,903,242.97
  5. Step 5: Solve for x
    x = 116,534,903,242.97/559,564.20
  6. Step 6: Final answer
    x = 208,260.11

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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.