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Finding the Fourth Proportional to 285,155.04, 393,508.08 and 157,823.04

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Solution

The fourth proportional to 285,155.04, 393,508.08 and 157,823.04 is: 217,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,155.04 : 393,508.08 = 157,823.04 : x
  2. Step 2: Convert to fraction form
    285,155.04/393,508.08 = 157,823.04/x
  3. Step 3: Cross multiply
    285,155.04x = 393,508.08 × 157,823.04
  4. Step 4: Simplify right side
    285,155.04x = 62,104,641,450.16
  5. Step 5: Solve for x
    x = 62,104,641,450.16/285,155.04
  6. Step 6: Final answer
    x = 217,792.54

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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.