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Finding the Fourth Proportional to 648,499.60, 973,915.80 and 471,206.80

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Solution

The fourth proportional to 648,499.60, 973,915.80 and 471,206.80 is: 707,657.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,499.60 : 973,915.80 = 471,206.80 : x
  2. Step 2: Convert to fraction form
    648,499.60/973,915.80 = 471,206.80/x
  3. Step 3: Cross multiply
    648,499.60x = 973,915.80 × 471,206.80
  4. Step 4: Simplify right side
    648,499.60x = 458,915,747,587.44
  5. Step 5: Solve for x
    x = 458,915,747,587.44/648,499.60
  6. Step 6: Final answer
    x = 707,657.72

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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.