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Finding the Fourth Proportional to 385,028.55, 577,641.24 and 148,307.67

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Solution

The fourth proportional to 385,028.55, 577,641.24 and 148,307.67 is: 222,499.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,028.55 : 577,641.24 = 148,307.67 : x
  2. Step 2: Convert to fraction form
    385,028.55/577,641.24 = 148,307.67/x
  3. Step 3: Cross multiply
    385,028.55x = 577,641.24 × 148,307.67
  4. Step 4: Simplify right side
    385,028.55x = 85,668,626,400.31
  5. Step 5: Solve for x
    x = 85,668,626,400.31/385,028.55
  6. Step 6: Final answer
    x = 222,499.41

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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.