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Finding the Fourth Proportional to 402,078.40, 603,117.60 and 384,363.70

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Solution

The fourth proportional to 402,078.40, 603,117.60 and 384,363.70 is: 576,545.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,078.40 : 603,117.60 = 384,363.70 : x
  2. Step 2: Convert to fraction form
    402,078.40/603,117.60 = 384,363.70/x
  3. Step 3: Cross multiply
    402,078.40x = 603,117.60 × 384,363.70
  4. Step 4: Simplify right side
    402,078.40x = 231,816,512,271.12
  5. Step 5: Solve for x
    x = 231,816,512,271.12/402,078.40
  6. Step 6: Final answer
    x = 576,545.55

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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.