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Finding the Fourth Proportional to 511,686.92, 706,322.50 and 384,731.30

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Solution

The fourth proportional to 511,686.92, 706,322.50 and 384,731.30 is: 531,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,686.92 : 706,322.50 = 384,731.30 : x
  2. Step 2: Convert to fraction form
    511,686.92/706,322.50 = 384,731.30/x
  3. Step 3: Cross multiply
    511,686.92x = 706,322.50 × 384,731.30
  4. Step 4: Simplify right side
    511,686.92x = 271,744,373,644.25
  5. Step 5: Solve for x
    x = 271,744,373,644.25/511,686.92
  6. Step 6: Final answer
    x = 531,075.47

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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.