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Finding the Fourth Proportional to 291,089.73, 435,821.76 and 157,490.76

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Solution

The fourth proportional to 291,089.73, 435,821.76 and 157,490.76 is: 235,796.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,089.73 : 435,821.76 = 157,490.76 : x
  2. Step 2: Convert to fraction form
    291,089.73/435,821.76 = 157,490.76/x
  3. Step 3: Cross multiply
    291,089.73x = 435,821.76 × 157,490.76
  4. Step 4: Simplify right side
    291,089.73x = 68,637,900,206.94
  5. Step 5: Solve for x
    x = 68,637,900,206.94/291,089.73
  6. Step 6: Final answer
    x = 235,796.36

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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.