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Finding the Fourth Proportional to 305,730, 421,947.36 and 171,594

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Solution

The fourth proportional to 305,730, 421,947.36 and 171,594 is: 236,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,730 : 421,947.36 = 171,594 : x
  2. Step 2: Convert to fraction form
    305,730/421,947.36 = 171,594/x
  3. Step 3: Cross multiply
    305,730x = 421,947.36 × 171,594
  4. Step 4: Simplify right side
    305,730x = 72,403,635,291.84
  5. Step 5: Solve for x
    x = 72,403,635,291.84/305,730
  6. Step 6: Final answer
    x = 236,822.15

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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.