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Finding the Fourth Proportional to 458,070.49, 686,773.59 and 307,938.42

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Solution

The fourth proportional to 458,070.49, 686,773.59 and 307,938.42 is: 461,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,070.49 : 686,773.59 = 307,938.42 : x
  2. Step 2: Convert to fraction form
    458,070.49/686,773.59 = 307,938.42/x
  3. Step 3: Cross multiply
    458,070.49x = 686,773.59 × 307,938.42
  4. Step 4: Simplify right side
    458,070.49x = 211,483,974,202.33
  5. Step 5: Solve for x
    x = 211,483,974,202.33/458,070.49
  6. Step 6: Final answer
    x = 461,684.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.