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Finding the Fourth Proportional to 583,376, 805,059.36 and 315,104

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Solution

The fourth proportional to 583,376, 805,059.36 and 315,104 is: 434,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,376 : 805,059.36 = 315,104 : x
  2. Step 2: Convert to fraction form
    583,376/805,059.36 = 315,104/x
  3. Step 3: Cross multiply
    583,376x = 805,059.36 × 315,104
  4. Step 4: Simplify right side
    583,376x = 253,677,424,573.44
  5. Step 5: Solve for x
    x = 253,677,424,573.44/583,376
  6. Step 6: Final answer
    x = 434,843.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.