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Finding the Fourth Proportional to 411,643.10, 617,464.65 and 162,292.70

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Solution

The fourth proportional to 411,643.10, 617,464.65 and 162,292.70 is: 243,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,643.10 : 617,464.65 = 162,292.70 : x
  2. Step 2: Convert to fraction form
    411,643.10/617,464.65 = 162,292.70/x
  3. Step 3: Cross multiply
    411,643.10x = 617,464.65 × 162,292.70
  4. Step 4: Simplify right side
    411,643.10x = 100,210,005,203.06
  5. Step 5: Solve for x
    x = 100,210,005,203.06/411,643.10
  6. Step 6: Final answer
    x = 243,439.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.