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Finding the Fourth Proportional to 492,404.10, 738,329.10 and 155,381.93

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Solution

The fourth proportional to 492,404.10, 738,329.10 and 155,381.93 is: 232,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,404.10 : 738,329.10 = 155,381.93 : x
  2. Step 2: Convert to fraction form
    492,404.10/738,329.10 = 155,381.93/x
  3. Step 3: Cross multiply
    492,404.10x = 738,329.10 × 155,381.93
  4. Step 4: Simplify right side
    492,404.10x = 114,723,000,533.16
  5. Step 5: Solve for x
    x = 114,723,000,533.16/492,404.10
  6. Step 6: Final answer
    x = 232,985.47

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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.