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Finding the Fourth Proportional to 285,409.10, 393,768.59 and 164,547.72

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Solution

The fourth proportional to 285,409.10, 393,768.59 and 164,547.72 is: 227,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,409.10 : 393,768.59 = 164,547.72 : x
  2. Step 2: Convert to fraction form
    285,409.10/393,768.59 = 164,547.72/x
  3. Step 3: Cross multiply
    285,409.10x = 393,768.59 × 164,547.72
  4. Step 4: Simplify right side
    285,409.10x = 64,793,722,869.38
  5. Step 5: Solve for x
    x = 64,793,722,869.38/285,409.10
  6. Step 6: Final answer
    x = 227,020.52

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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.