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Finding the Fourth Proportional to 557,212.86, 768,947.04 and 302,565.87

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Solution

The fourth proportional to 557,212.86, 768,947.04 and 302,565.87 is: 417,537.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,212.86 : 768,947.04 = 302,565.87 : x
  2. Step 2: Convert to fraction form
    557,212.86/768,947.04 = 302,565.87/x
  3. Step 3: Cross multiply
    557,212.86x = 768,947.04 × 302,565.87
  4. Step 4: Simplify right side
    557,212.86x = 232,657,130,141.53
  5. Step 5: Solve for x
    x = 232,657,130,141.53/557,212.86
  6. Step 6: Final answer
    x = 417,537.26

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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.