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Finding the Fourth Proportional to 288,606.40, 432,869 and 99,063.68

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Solution

The fourth proportional to 288,606.40, 432,869 and 99,063.68 is: 148,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,606.40 : 432,869 = 99,063.68 : x
  2. Step 2: Convert to fraction form
    288,606.40/432,869 = 99,063.68/x
  3. Step 3: Cross multiply
    288,606.40x = 432,869 × 99,063.68
  4. Step 4: Simplify right side
    288,606.40x = 42,881,596,097.92
  5. Step 5: Solve for x
    x = 42,881,596,097.92/288,606.40
  6. Step 6: Final answer
    x = 148,581.58

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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.