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Finding the Fourth Proportional to 511,798.32, 705,534.03 and 358,353

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Solution

The fourth proportional to 511,798.32, 705,534.03 and 358,353 is: 494,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,798.32 : 705,534.03 = 358,353 : x
  2. Step 2: Convert to fraction form
    511,798.32/705,534.03 = 358,353/x
  3. Step 3: Cross multiply
    511,798.32x = 705,534.03 × 358,353
  4. Step 4: Simplify right side
    511,798.32x = 252,830,236,252.59
  5. Step 5: Solve for x
    x = 252,830,236,252.59/511,798.32
  6. Step 6: Final answer
    x = 494,003.65

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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.