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Finding the Fourth Proportional to 511,335, 704,904.48 and 357,898.32

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Solution

The fourth proportional to 511,335, 704,904.48 and 357,898.32 is: 493,383.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,335 : 704,904.48 = 357,898.32 : x
  2. Step 2: Convert to fraction form
    511,335/704,904.48 = 357,898.32/x
  3. Step 3: Cross multiply
    511,335x = 704,904.48 × 357,898.32
  4. Step 4: Simplify right side
    511,335x = 252,284,129,152.47
  5. Step 5: Solve for x
    x = 252,284,129,152.47/511,335
  6. Step 6: Final answer
    x = 493,383.26

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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.