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Finding the Fourth Proportional to 458,174.42, 686,985.50 and 205,409.20

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Solution

The fourth proportional to 458,174.42, 686,985.50 and 205,409.20 is: 307,990.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,174.42 : 686,985.50 = 205,409.20 : x
  2. Step 2: Convert to fraction form
    458,174.42/686,985.50 = 205,409.20/x
  3. Step 3: Cross multiply
    458,174.42x = 686,985.50 × 205,409.20
  4. Step 4: Simplify right side
    458,174.42x = 141,113,141,966.60
  5. Step 5: Solve for x
    x = 141,113,141,966.60/458,174.42
  6. Step 6: Final answer
    x = 307,990.01

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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.