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Finding the Fourth Proportional to 510,871.81, 705,002.83 and 296,136.31

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Solution

The fourth proportional to 510,871.81, 705,002.83 and 296,136.31 is: 408,667.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,871.81 : 705,002.83 = 296,136.31 : x
  2. Step 2: Convert to fraction form
    510,871.81/705,002.83 = 296,136.31/x
  3. Step 3: Cross multiply
    510,871.81x = 705,002.83 × 296,136.31
  4. Step 4: Simplify right side
    510,871.81x = 208,776,936,615.76
  5. Step 5: Solve for x
    x = 208,776,936,615.76/510,871.81
  6. Step 6: Final answer
    x = 408,667.95

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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.