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Finding the Fourth Proportional to 704,783.22, 972,460.14 and 428,956.32

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Solution

The fourth proportional to 704,783.22, 972,460.14 and 428,956.32 is: 591,874.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,783.22 : 972,460.14 = 428,956.32 : x
  2. Step 2: Convert to fraction form
    704,783.22/972,460.14 = 428,956.32/x
  3. Step 3: Cross multiply
    704,783.22x = 972,460.14 × 428,956.32
  4. Step 4: Simplify right side
    704,783.22x = 417,142,923,001.09
  5. Step 5: Solve for x
    x = 417,142,923,001.09/704,783.22
  6. Step 6: Final answer
    x = 591,874.08

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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.