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Finding the Fourth Proportional to 305,123.84, 421,095.74 and 169,200.39

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Solution

The fourth proportional to 305,123.84, 421,095.74 and 169,200.39 is: 233,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,123.84 : 421,095.74 = 169,200.39 : x
  2. Step 2: Convert to fraction form
    305,123.84/421,095.74 = 169,200.39/x
  3. Step 3: Cross multiply
    305,123.84x = 421,095.74 × 169,200.39
  4. Step 4: Simplify right side
    305,123.84x = 71,249,563,435.34
  5. Step 5: Solve for x
    x = 71,249,563,435.34/305,123.84
  6. Step 6: Final answer
    x = 233,510.31

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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.