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Finding the Fourth Proportional to 553,753.16, 830,046.52 and 287,230.76

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Solution

The fourth proportional to 553,753.16, 830,046.52 and 287,230.76 is: 430,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,753.16 : 830,046.52 = 287,230.76 : x
  2. Step 2: Convert to fraction form
    553,753.16/830,046.52 = 287,230.76/x
  3. Step 3: Cross multiply
    553,753.16x = 830,046.52 × 287,230.76
  4. Step 4: Simplify right side
    553,753.16x = 238,414,892,774.96
  5. Step 5: Solve for x
    x = 238,414,892,774.96/553,753.16
  6. Step 6: Final answer
    x = 430,543.62

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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.