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Finding the Fourth Proportional to 307,869.60, 462,228.72 and 212,866.32

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Solution

The fourth proportional to 307,869.60, 462,228.72 and 212,866.32 is: 319,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,869.60 : 462,228.72 = 212,866.32 : x
  2. Step 2: Convert to fraction form
    307,869.60/462,228.72 = 212,866.32/x
  3. Step 3: Cross multiply
    307,869.60x = 462,228.72 × 212,866.32
  4. Step 4: Simplify right side
    307,869.60x = 98,392,926,624.71
  5. Step 5: Solve for x
    x = 98,392,926,624.71/307,869.60
  6. Step 6: Final answer
    x = 319,592.86

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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.