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Finding the Fourth Proportional to 312,973.66, 469,447.44 and 144,437.98

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Solution

The fourth proportional to 312,973.66, 469,447.44 and 144,437.98 is: 216,650.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,973.66 : 469,447.44 = 144,437.98 : x
  2. Step 2: Convert to fraction form
    312,973.66/469,447.44 = 144,437.98/x
  3. Step 3: Cross multiply
    312,973.66x = 469,447.44 × 144,437.98
  4. Step 4: Simplify right side
    312,973.66x = 67,806,039,949.77
  5. Step 5: Solve for x
    x = 67,806,039,949.77/312,973.66
  6. Step 6: Final answer
    x = 216,650.95

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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.