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Finding the Fourth Proportional to 384,136.60, 576,204.90 and 103,653.40

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Solution

The fourth proportional to 384,136.60, 576,204.90 and 103,653.40 is: 155,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,136.60 : 576,204.90 = 103,653.40 : x
  2. Step 2: Convert to fraction form
    384,136.60/576,204.90 = 103,653.40/x
  3. Step 3: Cross multiply
    384,136.60x = 576,204.90 × 103,653.40
  4. Step 4: Simplify right side
    384,136.60x = 59,725,596,981.66
  5. Step 5: Solve for x
    x = 59,725,596,981.66/384,136.60
  6. Step 6: Final answer
    x = 155,480.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.