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Finding the Fourth Proportional to 456,319.20, 684,511.20 and 140,775.60

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Solution

The fourth proportional to 456,319.20, 684,511.20 and 140,775.60 is: 211,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,319.20 : 684,511.20 = 140,775.60 : x
  2. Step 2: Convert to fraction form
    456,319.20/684,511.20 = 140,775.60/x
  3. Step 3: Cross multiply
    456,319.20x = 684,511.20 × 140,775.60
  4. Step 4: Simplify right side
    456,319.20x = 96,362,474,886.72
  5. Step 5: Solve for x
    x = 96,362,474,886.72/456,319.20
  6. Step 6: Final answer
    x = 211,173.40

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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.