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Finding the Fourth Proportional to 511,522.32, 705,884.54 and 282,089.28

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Solution

The fourth proportional to 511,522.32, 705,884.54 and 282,089.28 is: 389,274.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,522.32 : 705,884.54 = 282,089.28 : x
  2. Step 2: Convert to fraction form
    511,522.32/705,884.54 = 282,089.28/x
  3. Step 3: Cross multiply
    511,522.32x = 705,884.54 × 282,089.28
  4. Step 4: Simplify right side
    511,522.32x = 199,122,461,651.73
  5. Step 5: Solve for x
    x = 199,122,461,651.73/511,522.32
  6. Step 6: Final answer
    x = 389,274.24

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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.