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Finding the Fourth Proportional to 464,022, 640,319.76 and 272,998.32

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Solution

The fourth proportional to 464,022, 640,319.76 and 272,998.32 is: 376,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,022 : 640,319.76 = 272,998.32 : x
  2. Step 2: Convert to fraction form
    464,022/640,319.76 = 272,998.32/x
  3. Step 3: Cross multiply
    464,022x = 640,319.76 × 272,998.32
  4. Step 4: Simplify right side
    464,022x = 174,806,218,742.80
  5. Step 5: Solve for x
    x = 174,806,218,742.80/464,022
  6. Step 6: Final answer
    x = 376,719.68

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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.