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Finding the Fourth Proportional to 346,570.80, 519,856.20 and 305,892.60

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Solution

The fourth proportional to 346,570.80, 519,856.20 and 305,892.60 is: 458,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,570.80 : 519,856.20 = 305,892.60 : x
  2. Step 2: Convert to fraction form
    346,570.80/519,856.20 = 305,892.60/x
  3. Step 3: Cross multiply
    346,570.80x = 519,856.20 × 305,892.60
  4. Step 4: Simplify right side
    346,570.80x = 159,020,164,644.12
  5. Step 5: Solve for x
    x = 159,020,164,644.12/346,570.80
  6. Step 6: Final answer
    x = 458,838.90

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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.