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Finding the Fourth Proportional to 384,243.75, 576,368.87 and 134,925.75

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Solution

The fourth proportional to 384,243.75, 576,368.87 and 134,925.75 is: 202,389.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,243.75 : 576,368.87 = 134,925.75 : x
  2. Step 2: Convert to fraction form
    384,243.75/576,368.87 = 134,925.75/x
  3. Step 3: Cross multiply
    384,243.75x = 576,368.87 × 134,925.75
  4. Step 4: Simplify right side
    384,243.75x = 77,767,001,386.77
  5. Step 5: Solve for x
    x = 77,767,001,386.77/384,243.75
  6. Step 6: Final answer
    x = 202,389.76

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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.