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Finding the Fourth Proportional to 290,498.70, 435,580.38 and 112,798.06

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Solution

The fourth proportional to 290,498.70, 435,580.38 and 112,798.06 is: 169,131.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,498.70 : 435,580.38 = 112,798.06 : x
  2. Step 2: Convert to fraction form
    290,498.70/435,580.38 = 112,798.06/x
  3. Step 3: Cross multiply
    290,498.70x = 435,580.38 × 112,798.06
  4. Step 4: Simplify right side
    290,498.70x = 49,132,621,838.06
  5. Step 5: Solve for x
    x = 49,132,621,838.06/290,498.70
  6. Step 6: Final answer
    x = 169,131.99

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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.