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Finding the Fourth Proportional to 499,159.50, 689,172.61 and 295,275.92

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Solution

The fourth proportional to 499,159.50, 689,172.61 and 295,275.92 is: 407,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,159.50 : 689,172.61 = 295,275.92 : x
  2. Step 2: Convert to fraction form
    499,159.50/689,172.61 = 295,275.92/x
  3. Step 3: Cross multiply
    499,159.50x = 689,172.61 × 295,275.92
  4. Step 4: Simplify right side
    499,159.50x = 203,496,076,456.55
  5. Step 5: Solve for x
    x = 203,496,076,456.55/499,159.50
  6. Step 6: Final answer
    x = 407,677.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.