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Finding the Fourth Proportional to 446,871.60, 670,307.40 and 287,439.30

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Solution

The fourth proportional to 446,871.60, 670,307.40 and 287,439.30 is: 431,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,871.60 : 670,307.40 = 287,439.30 : x
  2. Step 2: Convert to fraction form
    446,871.60/670,307.40 = 287,439.30/x
  3. Step 3: Cross multiply
    446,871.60x = 670,307.40 × 287,439.30
  4. Step 4: Simplify right side
    446,871.60x = 192,672,689,840.82
  5. Step 5: Solve for x
    x = 192,672,689,840.82/446,871.60
  6. Step 6: Final answer
    x = 431,158.95

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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.