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Finding the Fourth Proportional to 377,136, 520,462.26 and 207,366.48

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Solution

The fourth proportional to 377,136, 520,462.26 and 207,366.48 is: 286,173.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,136 : 520,462.26 = 207,366.48 : x
  2. Step 2: Convert to fraction form
    377,136/520,462.26 = 207,366.48/x
  3. Step 3: Cross multiply
    377,136x = 520,462.26 × 207,366.48
  4. Step 4: Simplify right side
    377,136x = 107,926,426,829.05
  5. Step 5: Solve for x
    x = 107,926,426,829.05/377,136
  6. Step 6: Final answer
    x = 286,173.76

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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.