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Finding the Fourth Proportional to 299,316.77, 412,948.83 and 230,427.28

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Solution

The fourth proportional to 299,316.77, 412,948.83 and 230,427.28 is: 317,906.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,316.77 : 412,948.83 = 230,427.28 : x
  2. Step 2: Convert to fraction form
    299,316.77/412,948.83 = 230,427.28/x
  3. Step 3: Cross multiply
    299,316.77x = 412,948.83 × 230,427.28
  4. Step 4: Simplify right side
    299,316.77x = 95,154,677,056.37
  5. Step 5: Solve for x
    x = 95,154,677,056.37/299,316.77
  6. Step 6: Final answer
    x = 317,906.27

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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.