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Finding the Fourth Proportional to 499,159.06, 688,980.80 and 295,280.84

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Solution

The fourth proportional to 499,159.06, 688,980.80 and 295,280.84 is: 407,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,159.06 : 688,980.80 = 295,280.84 : x
  2. Step 2: Convert to fraction form
    499,159.06/688,980.80 = 295,280.84/x
  3. Step 3: Cross multiply
    499,159.06x = 688,980.80 × 295,280.84
  4. Step 4: Simplify right side
    499,159.06x = 203,442,829,367.87
  5. Step 5: Solve for x
    x = 203,442,829,367.87/499,159.06
  6. Step 6: Final answer
    x = 407,571.14

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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.