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Finding the Fourth Proportional to 411,145.60, 616,718.40 and 145,206.40

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Solution

The fourth proportional to 411,145.60, 616,718.40 and 145,206.40 is: 217,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,145.60 : 616,718.40 = 145,206.40 : x
  2. Step 2: Convert to fraction form
    411,145.60/616,718.40 = 145,206.40/x
  3. Step 3: Cross multiply
    411,145.60x = 616,718.40 × 145,206.40
  4. Step 4: Simplify right side
    411,145.60x = 89,551,458,677.76
  5. Step 5: Solve for x
    x = 89,551,458,677.76/411,145.60
  6. Step 6: Final answer
    x = 217,809.60

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1.5x scale

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.