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Finding the Fourth Proportional to 289,792.35, 434,638.71 and 76,562.55

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Solution

The fourth proportional to 289,792.35, 434,638.71 and 76,562.55 is: 114,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792.35 : 434,638.71 = 76,562.55 : x
  2. Step 2: Convert to fraction form
    289,792.35/434,638.71 = 76,562.55/x
  3. Step 3: Cross multiply
    289,792.35x = 434,638.71 × 76,562.55
  4. Step 4: Simplify right side
    289,792.35x = 33,277,047,966.31
  5. Step 5: Solve for x
    x = 33,277,047,966.31/289,792.35
  6. Step 6: Final answer
    x = 114,830.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.