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Finding the Fourth Proportional to 312,497.40, 468,607.86 and 90,898.68

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Solution

The fourth proportional to 312,497.40, 468,607.86 and 90,898.68 is: 136,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,497.40 : 468,607.86 = 90,898.68 : x
  2. Step 2: Convert to fraction form
    312,497.40/468,607.86 = 90,898.68/x
  3. Step 3: Cross multiply
    312,497.40x = 468,607.86 × 90,898.68
  4. Step 4: Simplify right side
    312,497.40x = 42,595,835,911.62
  5. Step 5: Solve for x
    x = 42,595,835,911.62/312,497.40
  6. Step 6: Final answer
    x = 136,307.81

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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.