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Finding the Fourth Proportional to 290,580.24, 435,869.68 and 77,348.16

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Solution

The fourth proportional to 290,580.24, 435,869.68 and 77,348.16 is: 116,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,580.24 : 435,869.68 = 77,348.16 : x
  2. Step 2: Convert to fraction form
    290,580.24/435,869.68 = 77,348.16/x
  3. Step 3: Cross multiply
    290,580.24x = 435,869.68 × 77,348.16
  4. Step 4: Simplify right side
    290,580.24x = 33,713,717,747.79
  5. Step 5: Solve for x
    x = 33,713,717,747.79/290,580.24
  6. Step 6: Final answer
    x = 116,022.06

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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.