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Finding the Fourth Proportional to 456,494.40, 684,595.80 and 190,190.70

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Solution

The fourth proportional to 456,494.40, 684,595.80 and 190,190.70 is: 285,225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,494.40 : 684,595.80 = 190,190.70 : x
  2. Step 2: Convert to fraction form
    456,494.40/684,595.80 = 190,190.70/x
  3. Step 3: Cross multiply
    456,494.40x = 684,595.80 × 190,190.70
  4. Step 4: Simplify right side
    456,494.40x = 130,203,754,419.06
  5. Step 5: Solve for x
    x = 130,203,754,419.06/456,494.40
  6. Step 6: Final answer
    x = 285,225.30

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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.