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Finding the Fourth Proportional to 411,441.20, 616,240.20 and 402,225.20

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Solution

The fourth proportional to 411,441.20, 616,240.20 and 402,225.20 is: 602,436.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,441.20 : 616,240.20 = 402,225.20 : x
  2. Step 2: Convert to fraction form
    411,441.20/616,240.20 = 402,225.20/x
  3. Step 3: Cross multiply
    411,441.20x = 616,240.20 × 402,225.20
  4. Step 4: Simplify right side
    411,441.20x = 247,867,337,693.04
  5. Step 5: Solve for x
    x = 247,867,337,693.04/411,441.20
  6. Step 6: Final answer
    x = 602,436.84

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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.