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Finding the Fourth Proportional to 458,085.30, 686,795.72 and 307,953.15

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Solution

The fourth proportional to 458,085.30, 686,795.72 and 307,953.15 is: 461,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,085.30 : 686,795.72 = 307,953.15 : x
  2. Step 2: Convert to fraction form
    458,085.30/686,795.72 = 307,953.15/x
  3. Step 3: Cross multiply
    458,085.30x = 686,795.72 × 307,953.15
  4. Step 4: Simplify right side
    458,085.30x = 211,500,903,840.75
  5. Step 5: Solve for x
    x = 211,500,903,840.75/458,085.30
  6. Step 6: Final answer
    x = 461,706.38

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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.