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Finding the Fourth Proportional to 380,662.88, 525,331.98 and 210,897

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Solution

The fourth proportional to 380,662.88, 525,331.98 and 210,897 is: 291,047.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,662.88 : 525,331.98 = 210,897 : x
  2. Step 2: Convert to fraction form
    380,662.88/525,331.98 = 210,897/x
  3. Step 3: Cross multiply
    380,662.88x = 525,331.98 × 210,897
  4. Step 4: Simplify right side
    380,662.88x = 110,790,938,586.06
  5. Step 5: Solve for x
    x = 110,790,938,586.06/380,662.88
  6. Step 6: Final answer
    x = 291,047.40

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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.