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Finding the Fourth Proportional to 458,015.95, 686,691.77 and 307,883.87

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Solution

The fourth proportional to 458,015.95, 686,691.77 and 307,883.87 is: 461,602.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,015.95 : 686,691.77 = 307,883.87 : x
  2. Step 2: Convert to fraction form
    458,015.95/686,691.77 = 307,883.87/x
  3. Step 3: Cross multiply
    458,015.95x = 686,691.77 × 307,883.87
  4. Step 4: Simplify right side
    458,015.95x = 211,421,316,211.29
  5. Step 5: Solve for x
    x = 211,421,316,211.29/458,015.95
  6. Step 6: Final answer
    x = 461,602.52

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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.