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Finding the Fourth Proportional to 305,054.98, 457,582.47 and 105,380.26

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Solution

The fourth proportional to 305,054.98, 457,582.47 and 105,380.26 is: 158,070.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,054.98 : 457,582.47 = 105,380.26 : x
  2. Step 2: Convert to fraction form
    305,054.98/457,582.47 = 105,380.26/x
  3. Step 3: Cross multiply
    305,054.98x = 457,582.47 × 105,380.26
  4. Step 4: Simplify right side
    305,054.98x = 48,220,159,660.04
  5. Step 5: Solve for x
    x = 48,220,159,660.04/305,054.98
  6. Step 6: Final answer
    x = 158,070.39

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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.