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Finding the Fourth Proportional to 312,297, 468,618.72 and 152,374.29

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Solution

The fourth proportional to 312,297, 468,618.72 and 152,374.29 is: 228,645.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,297 : 468,618.72 = 152,374.29 : x
  2. Step 2: Convert to fraction form
    312,297/468,618.72 = 152,374.29/x
  3. Step 3: Cross multiply
    312,297x = 468,618.72 × 152,374.29
  4. Step 4: Simplify right side
    312,297x = 71,405,444,740.71
  5. Step 5: Solve for x
    x = 71,405,444,740.71/312,297
  6. Step 6: Final answer
    x = 228,645.95

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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.