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Finding the Fourth Proportional to 328,404.93, 492,801.95 and 138,854.94

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Solution

The fourth proportional to 328,404.93, 492,801.95 and 138,854.94 is: 208,364.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,404.93 : 492,801.95 = 138,854.94 : x
  2. Step 2: Convert to fraction form
    328,404.93/492,801.95 = 138,854.94/x
  3. Step 3: Cross multiply
    328,404.93x = 492,801.95 × 138,854.94
  4. Step 4: Simplify right side
    328,404.93x = 68,427,985,199.13
  5. Step 5: Solve for x
    x = 68,427,985,199.13/328,404.93
  6. Step 6: Final answer
    x = 208,364.67

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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.