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Finding the Fourth Proportional to 557,217.94, 768,963.90 and 302,569.20

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Solution

The fourth proportional to 557,217.94, 768,963.90 and 302,569.20 is: 417,547.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,217.94 : 768,963.90 = 302,569.20 : x
  2. Step 2: Convert to fraction form
    557,217.94/768,963.90 = 302,569.20/x
  3. Step 3: Cross multiply
    557,217.94x = 768,963.90 × 302,569.20
  4. Step 4: Simplify right side
    557,217.94x = 232,664,792,051.88
  5. Step 5: Solve for x
    x = 232,664,792,051.88/557,217.94
  6. Step 6: Final answer
    x = 417,547.20

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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.