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Finding the Fourth Proportional to 305,011.95, 420,916.51 and 169,054.66

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Solution

The fourth proportional to 305,011.95, 420,916.51 and 169,054.66 is: 233,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,011.95 : 420,916.51 = 169,054.66 : x
  2. Step 2: Convert to fraction form
    305,011.95/420,916.51 = 169,054.66/x
  3. Step 3: Cross multiply
    305,011.95x = 420,916.51 × 169,054.66
  4. Step 4: Simplify right side
    305,011.95x = 71,157,898,223.90
  5. Step 5: Solve for x
    x = 71,157,898,223.90/305,011.95
  6. Step 6: Final answer
    x = 233,295.45

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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.