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Finding the Fourth Proportional to 285,152.09, 393,597.54 and 164,374.08

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Solution

The fourth proportional to 285,152.09, 393,597.54 and 164,374.08 is: 226,886.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,152.09 : 393,597.54 = 164,374.08 : x
  2. Step 2: Convert to fraction form
    285,152.09/393,597.54 = 164,374.08/x
  3. Step 3: Cross multiply
    285,152.09x = 393,597.54 × 164,374.08
  4. Step 4: Simplify right side
    285,152.09x = 64,697,233,527.76
  5. Step 5: Solve for x
    x = 64,697,233,527.76/285,152.09
  6. Step 6: Final answer
    x = 226,886.76

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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.