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Finding the Fourth Proportional to 289,713.52, 434,570.64 and 79,353.28

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Solution

The fourth proportional to 289,713.52, 434,570.64 and 79,353.28 is: 119,030.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,713.52 : 434,570.64 = 79,353.28 : x
  2. Step 2: Convert to fraction form
    289,713.52/434,570.64 = 79,353.28/x
  3. Step 3: Cross multiply
    289,713.52x = 434,570.64 × 79,353.28
  4. Step 4: Simplify right side
    289,713.52x = 34,484,605,675.70
  5. Step 5: Solve for x
    x = 34,484,605,675.70/289,713.52
  6. Step 6: Final answer
    x = 119,030.02

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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.