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Finding the Fourth Proportional to 288,624, 432,942.48 and 99,084

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Solution

The fourth proportional to 288,624, 432,942.48 and 99,084 is: 148,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,624 : 432,942.48 = 99,084 : x
  2. Step 2: Convert to fraction form
    288,624/432,942.48 = 99,084/x
  3. Step 3: Cross multiply
    288,624x = 432,942.48 × 99,084
  4. Step 4: Simplify right side
    288,624x = 42,897,672,688.32
  5. Step 5: Solve for x
    x = 42,897,672,688.32/288,624
  6. Step 6: Final answer
    x = 148,628.22

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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.