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Finding the Fourth Proportional to 307,419.57, 458,038.35 and 290,230.74

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Solution

The fourth proportional to 307,419.57, 458,038.35 and 290,230.74 is: 432,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,419.57 : 458,038.35 = 290,230.74 : x
  2. Step 2: Convert to fraction form
    307,419.57/458,038.35 = 290,230.74/x
  3. Step 3: Cross multiply
    307,419.57x = 458,038.35 × 290,230.74
  4. Step 4: Simplify right side
    307,419.57x = 132,936,809,268.88
  5. Step 5: Solve for x
    x = 132,936,809,268.88/307,419.57
  6. Step 6: Final answer
    x = 432,427.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.