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Finding the Fourth Proportional to 577,980.26, 866,882.91 and 157,288.94

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Solution

The fourth proportional to 577,980.26, 866,882.91 and 157,288.94 is: 235,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,980.26 : 866,882.91 = 157,288.94 : x
  2. Step 2: Convert to fraction form
    577,980.26/866,882.91 = 157,288.94/x
  3. Step 3: Cross multiply
    577,980.26x = 866,882.91 × 157,288.94
  4. Step 4: Simplify right side
    577,980.26x = 136,351,094,018.02
  5. Step 5: Solve for x
    x = 136,351,094,018.02/577,980.26
  6. Step 6: Final answer
    x = 235,909.60

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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.