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Finding the Fourth Proportional to 583,456, 805,170 and 315,184

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Solution

The fourth proportional to 583,456, 805,170 and 315,184 is: 434,954.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,456 : 805,170 = 315,184 : x
  2. Step 2: Convert to fraction form
    583,456/805,170 = 315,184/x
  3. Step 3: Cross multiply
    583,456x = 805,170 × 315,184
  4. Step 4: Simplify right side
    583,456x = 253,776,701,280
  5. Step 5: Solve for x
    x = 253,776,701,280/583,456
  6. Step 6: Final answer
    x = 434,954.31

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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.