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Finding the Fourth Proportional to 411,643.60, 617,465.40 and 162,293.20

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Solution

The fourth proportional to 411,643.60, 617,465.40 and 162,293.20 is: 243,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,643.60 : 617,465.40 = 162,293.20 : x
  2. Step 2: Convert to fraction form
    411,643.60/617,465.40 = 162,293.20/x
  3. Step 3: Cross multiply
    411,643.60x = 617,465.40 × 162,293.20
  4. Step 4: Simplify right side
    411,643.60x = 100,210,435,655.28
  5. Step 5: Solve for x
    x = 100,210,435,655.28/411,643.60
  6. Step 6: Final answer
    x = 243,439.80

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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.