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Finding the Fourth Proportional to 311,848.74, 467,830.80 and 98,670.31

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Solution

The fourth proportional to 311,848.74, 467,830.80 and 98,670.31 is: 148,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,848.74 : 467,830.80 = 98,670.31 : x
  2. Step 2: Convert to fraction form
    311,848.74/467,830.80 = 98,670.31/x
  3. Step 3: Cross multiply
    311,848.74x = 467,830.80 × 98,670.31
  4. Step 4: Simplify right side
    311,848.74x = 46,161,011,479.80
  5. Step 5: Solve for x
    x = 46,161,011,479.80/311,848.74
  6. Step 6: Final answer
    x = 148,023.72

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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.