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Finding the Fourth Proportional to 557,088, 768,782.22 and 302,439.18

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Solution

The fourth proportional to 557,088, 768,782.22 and 302,439.18 is: 417,366.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,088 : 768,782.22 = 302,439.18 : x
  2. Step 2: Convert to fraction form
    557,088/768,782.22 = 302,439.18/x
  3. Step 3: Cross multiply
    557,088x = 768,782.22 × 302,439.18
  4. Step 4: Simplify right side
    557,088x = 232,509,864,215.38
  5. Step 5: Solve for x
    x = 232,509,864,215.38/557,088
  6. Step 6: Final answer
    x = 417,366.49

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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.