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Finding the Fourth Proportional to 476,832, 657,736.32 and 283,108.28

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Solution

The fourth proportional to 476,832, 657,736.32 and 283,108.28 is: 390,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,832 : 657,736.32 = 283,108.28 : x
  2. Step 2: Convert to fraction form
    476,832/657,736.32 = 283,108.28/x
  3. Step 3: Cross multiply
    476,832x = 657,736.32 × 283,108.28
  4. Step 4: Simplify right side
    476,832x = 186,210,598,248.73
  5. Step 5: Solve for x
    x = 186,210,598,248.73/476,832
  6. Step 6: Final answer
    x = 390,516.15

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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.