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Finding the Fourth Proportional to 312,307.30, 468,390.75 and 143,665.71

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Solution

The fourth proportional to 312,307.30, 468,390.75 and 143,665.71 is: 215,466.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,307.30 : 468,390.75 = 143,665.71 : x
  2. Step 2: Convert to fraction form
    312,307.30/468,390.75 = 143,665.71/x
  3. Step 3: Cross multiply
    312,307.30x = 468,390.75 × 143,665.71
  4. Step 4: Simplify right side
    312,307.30x = 67,291,689,656.18
  5. Step 5: Solve for x
    x = 67,291,689,656.18/312,307.30
  6. Step 6: Final answer
    x = 215,466.27

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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.