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Finding the Fourth Proportional to 557,089, 768,783.60 and 302,440.18

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Solution

The fourth proportional to 557,089, 768,783.60 and 302,440.18 is: 417,367.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,089 : 768,783.60 = 302,440.18 : x
  2. Step 2: Convert to fraction form
    557,089/768,783.60 = 302,440.18/x
  3. Step 3: Cross multiply
    557,089x = 768,783.60 × 302,440.18
  4. Step 4: Simplify right side
    557,089x = 232,511,050,365.05
  5. Step 5: Solve for x
    x = 232,511,050,365.05/557,089
  6. Step 6: Final answer
    x = 417,367.87

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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.