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Finding the Fourth Proportional to 279,543.60, 419,315.40 and 190,970.10

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Solution

The fourth proportional to 279,543.60, 419,315.40 and 190,970.10 is: 286,455.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,543.60 : 419,315.40 = 190,970.10 : x
  2. Step 2: Convert to fraction form
    279,543.60/419,315.40 = 190,970.10/x
  3. Step 3: Cross multiply
    279,543.60x = 419,315.40 × 190,970.10
  4. Step 4: Simplify right side
    279,543.60x = 80,076,703,869.54
  5. Step 5: Solve for x
    x = 80,076,703,869.54/279,543.60
  6. Step 6: Final answer
    x = 286,455.15

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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.