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Finding the Fourth Proportional to 305,031.74, 457,460.10 and 117,999.50

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Solution

The fourth proportional to 305,031.74, 457,460.10 and 117,999.50 is: 176,965.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,031.74 : 457,460.10 = 117,999.50 : x
  2. Step 2: Convert to fraction form
    305,031.74/457,460.10 = 117,999.50/x
  3. Step 3: Cross multiply
    305,031.74x = 457,460.10 × 117,999.50
  4. Step 4: Simplify right side
    305,031.74x = 53,980,060,782.65
  5. Step 5: Solve for x
    x = 53,980,060,782.65/305,031.74
  6. Step 6: Final answer
    x = 176,965.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.