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Finding the Fourth Proportional to 557,011.84, 768,694.65 and 315,289.22

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Solution

The fourth proportional to 557,011.84, 768,694.65 and 315,289.22 is: 435,109.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,011.84 : 768,694.65 = 315,289.22 : x
  2. Step 2: Convert to fraction form
    557,011.84/768,694.65 = 315,289.22/x
  3. Step 3: Cross multiply
    557,011.84x = 768,694.65 × 315,289.22
  4. Step 4: Simplify right side
    557,011.84x = 242,361,136,616.67
  5. Step 5: Solve for x
    x = 242,361,136,616.67/557,011.84
  6. Step 6: Final answer
    x = 435,109.49

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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.