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Finding the Fourth Proportional to 762,392, 1,051,412.16 and 475,938.56

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Solution

The fourth proportional to 762,392, 1,051,412.16 and 475,938.56 is: 656,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,392 : 1,051,412.16 = 475,938.56 : x
  2. Step 2: Convert to fraction form
    762,392/1,051,412.16 = 475,938.56/x
  3. Step 3: Cross multiply
    762,392x = 1,051,412.16 × 475,938.56
  4. Step 4: Simplify right side
    762,392x = 500,407,589,396.89
  5. Step 5: Solve for x
    x = 500,407,589,396.89/762,392
  6. Step 6: Final answer
    x = 656,365.22

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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.