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Finding the Fourth Proportional to 613,120, 846,097.28 and 344,848.64

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Solution

The fourth proportional to 613,120, 846,097.28 and 344,848.64 is: 475,886.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,120 : 846,097.28 = 344,848.64 : x
  2. Step 2: Convert to fraction form
    613,120/846,097.28 = 344,848.64/x
  3. Step 3: Cross multiply
    613,120x = 846,097.28 × 344,848.64
  4. Step 4: Simplify right side
    613,120x = 291,775,496,315.70
  5. Step 5: Solve for x
    x = 291,775,496,315.70/613,120
  6. Step 6: Final answer
    x = 475,886.44

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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.