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Finding the Fourth Proportional to 312,954.63, 469,510.61 and 144,594.10

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Solution

The fourth proportional to 312,954.63, 469,510.61 and 144,594.10 is: 216,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,954.63 : 469,510.61 = 144,594.10 : x
  2. Step 2: Convert to fraction form
    312,954.63/469,510.61 = 144,594.10/x
  3. Step 3: Cross multiply
    312,954.63x = 469,510.61 × 144,594.10
  4. Step 4: Simplify right side
    312,954.63x = 67,888,464,093.40
  5. Step 5: Solve for x
    x = 67,888,464,093.40/312,954.63
  6. Step 6: Final answer
    x = 216,927.50

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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.