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Finding the Fourth Proportional to 363,969, 502,218.14 and 210,977.33

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Solution

The fourth proportional to 363,969, 502,218.14 and 210,977.33 is: 291,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,969 : 502,218.14 = 210,977.33 : x
  2. Step 2: Convert to fraction form
    363,969/502,218.14 = 210,977.33/x
  3. Step 3: Cross multiply
    363,969x = 502,218.14 × 210,977.33
  4. Step 4: Simplify right side
    363,969x = 105,956,638,688.79
  5. Step 5: Solve for x
    x = 105,956,638,688.79/363,969
  6. Step 6: Final answer
    x = 291,114.46

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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.