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Finding the Fourth Proportional to 380,846.76, 525,780.90 and 260,169

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Solution

The fourth proportional to 380,846.76, 525,780.90 and 260,169 is: 359,178.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,846.76 : 525,780.90 = 260,169 : x
  2. Step 2: Convert to fraction form
    380,846.76/525,780.90 = 260,169/x
  3. Step 3: Cross multiply
    380,846.76x = 525,780.90 × 260,169
  4. Step 4: Simplify right side
    380,846.76x = 136,791,890,972.10
  5. Step 5: Solve for x
    x = 136,791,890,972.10/380,846.76
  6. Step 6: Final answer
    x = 359,178.30

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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.