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Finding the Fourth Proportional to 301,139.14, 415,606.74 and 180,280.36

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Solution

The fourth proportional to 301,139.14, 415,606.74 and 180,280.36 is: 248,807.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,139.14 : 415,606.74 = 180,280.36 : x
  2. Step 2: Convert to fraction form
    301,139.14/415,606.74 = 180,280.36/x
  3. Step 3: Cross multiply
    301,139.14x = 415,606.74 × 180,280.36
  4. Step 4: Simplify right side
    301,139.14x = 74,925,732,705.63
  5. Step 5: Solve for x
    x = 74,925,732,705.63/301,139.14
  6. Step 6: Final answer
    x = 248,807.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.