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Finding the Fourth Proportional to 290,220.78, 435,499.24 and 121,726.10

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Solution

The fourth proportional to 290,220.78, 435,499.24 and 121,726.10 is: 182,659.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,220.78 : 435,499.24 = 121,726.10 : x
  2. Step 2: Convert to fraction form
    290,220.78/435,499.24 = 121,726.10/x
  3. Step 3: Cross multiply
    290,220.78x = 435,499.24 × 121,726.10
  4. Step 4: Simplify right side
    290,220.78x = 53,011,624,038.16
  5. Step 5: Solve for x
    x = 53,011,624,038.16/290,220.78
  6. Step 6: Final answer
    x = 182,659.64

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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.