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Finding the Fourth Proportional to 653,670.30, 980,505.45 and 416,307.90

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Solution

The fourth proportional to 653,670.30, 980,505.45 and 416,307.90 is: 624,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,670.30 : 980,505.45 = 416,307.90 : x
  2. Step 2: Convert to fraction form
    653,670.30/980,505.45 = 416,307.90/x
  3. Step 3: Cross multiply
    653,670.30x = 980,505.45 × 416,307.90
  4. Step 4: Simplify right side
    653,670.30x = 408,192,164,828.06
  5. Step 5: Solve for x
    x = 408,192,164,828.06/653,670.30
  6. Step 6: Final answer
    x = 624,461.85

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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.