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Finding the Fourth Proportional to 305,123.34, 421,095.06 and 169,199.90

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Solution

The fourth proportional to 305,123.34, 421,095.06 and 169,199.90 is: 233,509.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,123.34 : 421,095.06 = 169,199.90 : x
  2. Step 2: Convert to fraction form
    305,123.34/421,095.06 = 169,199.90/x
  3. Step 3: Cross multiply
    305,123.34x = 421,095.06 × 169,199.90
  4. Step 4: Simplify right side
    305,123.34x = 71,249,239,091.02
  5. Step 5: Solve for x
    x = 71,249,239,091.02/305,123.34
  6. Step 6: Final answer
    x = 233,509.63

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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.