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Finding the Fourth Proportional to 369,945, 510,524.10 and 210,969

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Solution

The fourth proportional to 369,945, 510,524.10 and 210,969 is: 291,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,945 : 510,524.10 = 210,969 : x
  2. Step 2: Convert to fraction form
    369,945/510,524.10 = 210,969/x
  3. Step 3: Cross multiply
    369,945x = 510,524.10 × 210,969
  4. Step 4: Simplify right side
    369,945x = 107,704,758,852.90
  5. Step 5: Solve for x
    x = 107,704,758,852.90/369,945
  6. Step 6: Final answer
    x = 291,137.22

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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.