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Finding the Fourth Proportional to 407,411.02, 562,330.54 and 278,401.70

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Solution

The fourth proportional to 407,411.02, 562,330.54 and 278,401.70 is: 384,264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,411.02 : 562,330.54 = 278,401.70 : x
  2. Step 2: Convert to fraction form
    407,411.02/562,330.54 = 278,401.70/x
  3. Step 3: Cross multiply
    407,411.02x = 562,330.54 × 278,401.70
  4. Step 4: Simplify right side
    407,411.02x = 156,553,778,297.92
  5. Step 5: Solve for x
    x = 156,553,778,297.92/407,411.02
  6. Step 6: Final answer
    x = 384,264.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.