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Finding the Fourth Proportional to 328,055.60, 492,102.84 and 103,423.16

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Solution

The fourth proportional to 328,055.60, 492,102.84 and 103,423.16 is: 155,140.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,055.60 : 492,102.84 = 103,423.16 : x
  2. Step 2: Convert to fraction form
    328,055.60/492,102.84 = 103,423.16/x
  3. Step 3: Cross multiply
    328,055.60x = 492,102.84 × 103,423.16
  4. Step 4: Simplify right side
    328,055.60x = 50,894,830,757.77
  5. Step 5: Solve for x
    x = 50,894,830,757.77/328,055.60
  6. Step 6: Final answer
    x = 155,140.87

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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.