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Finding the Fourth Proportional to 583,441, 805,149.32 and 315,169

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Solution

The fourth proportional to 583,441, 805,149.32 and 315,169 is: 434,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,441 : 805,149.32 = 315,169 : x
  2. Step 2: Convert to fraction form
    583,441/805,149.32 = 315,169/x
  3. Step 3: Cross multiply
    583,441x = 805,149.32 × 315,169
  4. Step 4: Simplify right side
    583,441x = 253,758,106,035.08
  5. Step 5: Solve for x
    x = 253,758,106,035.08/583,441
  6. Step 6: Final answer
    x = 434,933.62

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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.