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Finding the Fourth Proportional to 374,664, 517,097.36 and 278,506.48

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Solution

The fourth proportional to 374,664, 517,097.36 and 278,506.48 is: 384,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,664 : 517,097.36 = 278,506.48 : x
  2. Step 2: Convert to fraction form
    374,664/517,097.36 = 278,506.48/x
  3. Step 3: Cross multiply
    374,664x = 517,097.36 × 278,506.48
  4. Step 4: Simplify right side
    374,664x = 144,014,965,550.89
  5. Step 5: Solve for x
    x = 144,014,965,550.89/374,664
  6. Step 6: Final answer
    x = 384,384.32

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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.