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Finding the Fourth Proportional to 300,071.17, 414,058.12 and 165,943.81

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Solution

The fourth proportional to 300,071.17, 414,058.12 and 165,943.81 is: 228,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,071.17 : 414,058.12 = 165,943.81 : x
  2. Step 2: Convert to fraction form
    300,071.17/414,058.12 = 165,943.81/x
  3. Step 3: Cross multiply
    300,071.17x = 414,058.12 × 165,943.81
  4. Step 4: Simplify right side
    300,071.17x = 68,710,381,994.24
  5. Step 5: Solve for x
    x = 68,710,381,994.24/300,071.17
  6. Step 6: Final answer
    x = 228,980.28

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1.5x scale

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.