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Finding the Fourth Proportional to 521,679.08, 782,518.62 and 147,705.32

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Solution

The fourth proportional to 521,679.08, 782,518.62 and 147,705.32 is: 221,557.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,679.08 : 782,518.62 = 147,705.32 : x
  2. Step 2: Convert to fraction form
    521,679.08/782,518.62 = 147,705.32/x
  3. Step 3: Cross multiply
    521,679.08x = 782,518.62 × 147,705.32
  4. Step 4: Simplify right side
    521,679.08x = 115,582,163,173.06
  5. Step 5: Solve for x
    x = 115,582,163,173.06/521,679.08
  6. Step 6: Final answer
    x = 221,557.98

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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.