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Finding the Fourth Proportional to 288,710.99, 433,059.19 and 78,343.46

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Solution

The fourth proportional to 288,710.99, 433,059.19 and 78,343.46 is: 117,513.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,710.99 : 433,059.19 = 78,343.46 : x
  2. Step 2: Convert to fraction form
    288,710.99/433,059.19 = 78,343.46/x
  3. Step 3: Cross multiply
    288,710.99x = 433,059.19 × 78,343.46
  4. Step 4: Simplify right side
    288,710.99x = 33,927,355,032.90
  5. Step 5: Solve for x
    x = 33,927,355,032.90/288,710.99
  6. Step 6: Final answer
    x = 117,513.21

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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.