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Finding the Fourth Proportional to 434,078.40, 649,951.20 and 434,078.40

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Solution

The fourth proportional to 434,078.40, 649,951.20 and 434,078.40 is: 649,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,078.40 : 649,951.20 = 434,078.40 : x
  2. Step 2: Convert to fraction form
    434,078.40/649,951.20 = 434,078.40/x
  3. Step 3: Cross multiply
    434,078.40x = 649,951.20 × 434,078.40
  4. Step 4: Simplify right side
    434,078.40x = 282,129,776,974.08
  5. Step 5: Solve for x
    x = 282,129,776,974.08/434,078.40
  6. Step 6: Final answer
    x = 649,951.20

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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.