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Finding the Fourth Proportional to 312,214.90, 468,509.20 and 134,721.93

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Solution

The fourth proportional to 312,214.90, 468,509.20 and 134,721.93 is: 202,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,214.90 : 468,509.20 = 134,721.93 : x
  2. Step 2: Convert to fraction form
    312,214.90/468,509.20 = 134,721.93/x
  3. Step 3: Cross multiply
    312,214.90x = 468,509.20 × 134,721.93
  4. Step 4: Simplify right side
    312,214.90x = 63,118,463,646.76
  5. Step 5: Solve for x
    x = 63,118,463,646.76/312,214.90
  6. Step 6: Final answer
    x = 202,163.52

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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.