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Finding the Fourth Proportional to 380,706.41, 525,430.80 and 219,529.98

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Solution

The fourth proportional to 380,706.41, 525,430.80 and 219,529.98 is: 302,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,706.41 : 525,430.80 = 219,529.98 : x
  2. Step 2: Convert to fraction form
    380,706.41/525,430.80 = 219,529.98/x
  3. Step 3: Cross multiply
    380,706.41x = 525,430.80 × 219,529.98
  4. Step 4: Simplify right side
    380,706.41x = 115,347,813,015.38
  5. Step 5: Solve for x
    x = 115,347,813,015.38/380,706.41
  6. Step 6: Final answer
    x = 302,983.64

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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.