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Finding the Fourth Proportional to 313,283.72, 469,293.55 and 144,569.68

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Solution

The fourth proportional to 313,283.72, 469,293.55 and 144,569.68 is: 216,562.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,283.72 : 469,293.55 = 144,569.68 : x
  2. Step 2: Convert to fraction form
    313,283.72/469,293.55 = 144,569.68/x
  3. Step 3: Cross multiply
    313,283.72x = 469,293.55 × 144,569.68
  4. Step 4: Simplify right side
    313,283.72x = 67,845,616,814.91
  5. Step 5: Solve for x
    x = 67,845,616,814.91/313,283.72
  6. Step 6: Final answer
    x = 216,562.85

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1.5x scale

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.