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Finding the Fourth Proportional to 557,186.81, 768,896.22 and 302,532.17

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Solution

The fourth proportional to 557,186.81, 768,896.22 and 302,532.17 is: 417,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,186.81 : 768,896.22 = 302,532.17 : x
  2. Step 2: Convert to fraction form
    557,186.81/768,896.22 = 302,532.17/x
  3. Step 3: Cross multiply
    557,186.81x = 768,896.22 × 302,532.17
  4. Step 4: Simplify right side
    557,186.81x = 232,615,838,096.92
  5. Step 5: Solve for x
    x = 232,615,838,096.92/557,186.81
  6. Step 6: Final answer
    x = 417,482.68

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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.