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Finding the Fourth Proportional to 290,483.02, 435,746.27 and 80,119

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Solution

The fourth proportional to 290,483.02, 435,746.27 and 80,119 is: 120,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,483.02 : 435,746.27 = 80,119 : x
  2. Step 2: Convert to fraction form
    290,483.02/435,746.27 = 80,119/x
  3. Step 3: Cross multiply
    290,483.02x = 435,746.27 × 80,119
  4. Step 4: Simplify right side
    290,483.02x = 34,911,555,406.13
  5. Step 5: Solve for x
    x = 34,911,555,406.13/290,483.02
  6. Step 6: Final answer
    x = 120,184.50

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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.