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Finding the Fourth Proportional to 290,395.30, 435,592.04 and 77,184.67

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Solution

The fourth proportional to 290,395.30, 435,592.04 and 77,184.67 is: 115,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,395.30 : 435,592.04 = 77,184.67 : x
  2. Step 2: Convert to fraction form
    290,395.30/435,592.04 = 77,184.67/x
  3. Step 3: Cross multiply
    290,395.30x = 435,592.04 × 77,184.67
  4. Step 4: Simplify right side
    290,395.30x = 33,621,027,862.03
  5. Step 5: Solve for x
    x = 33,621,027,862.03/290,395.30
  6. Step 6: Final answer
    x = 115,776.76

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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.