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Finding the Fourth Proportional to 340,978.12, 511,448.70 and 104,320.76

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Solution

The fourth proportional to 340,978.12, 511,448.70 and 104,320.76 is: 156,475.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,978.12 : 511,448.70 = 104,320.76 : x
  2. Step 2: Convert to fraction form
    340,978.12/511,448.70 = 104,320.76/x
  3. Step 3: Cross multiply
    340,978.12x = 511,448.70 × 104,320.76
  4. Step 4: Simplify right side
    340,978.12x = 53,354,717,085.01
  5. Step 5: Solve for x
    x = 53,354,717,085.01/340,978.12
  6. Step 6: Final answer
    x = 156,475.49

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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.