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Finding the Fourth Proportional to 282,149.68, 423,256.64 and 102,319.84

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Solution

The fourth proportional to 282,149.68, 423,256.64 and 102,319.84 is: 153,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,149.68 : 423,256.64 = 102,319.84 : x
  2. Step 2: Convert to fraction form
    282,149.68/423,256.64 = 102,319.84/x
  3. Step 3: Cross multiply
    282,149.68x = 423,256.64 × 102,319.84
  4. Step 4: Simplify right side
    282,149.68x = 43,307,551,683.74
  5. Step 5: Solve for x
    x = 43,307,551,683.74/282,149.68
  6. Step 6: Final answer
    x = 153,491.41

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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.