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Finding the Fourth Proportional to 305,570, 458,539.32 and 130,466

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Solution

The fourth proportional to 305,570, 458,539.32 and 130,466 is: 195,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,570 : 458,539.32 = 130,466 : x
  2. Step 2: Convert to fraction form
    305,570/458,539.32 = 130,466/x
  3. Step 3: Cross multiply
    305,570x = 458,539.32 × 130,466
  4. Step 4: Simplify right side
    305,570x = 59,823,790,923.12
  5. Step 5: Solve for x
    x = 59,823,790,923.12/305,570
  6. Step 6: Final answer
    x = 195,777.70

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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.