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Finding the Fourth Proportional to 290,567.40, 435,850.47 and 77,335.36

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Solution

The fourth proportional to 290,567.40, 435,850.47 and 77,335.36 is: 116,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,567.40 : 435,850.47 = 77,335.36 : x
  2. Step 2: Convert to fraction form
    290,567.40/435,850.47 = 77,335.36/x
  3. Step 3: Cross multiply
    290,567.40x = 435,850.47 × 77,335.36
  4. Step 4: Simplify right side
    290,567.40x = 33,706,651,913.99
  5. Step 5: Solve for x
    x = 33,706,651,913.99/290,567.40
  6. Step 6: Final answer
    x = 116,002.87

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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.