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Finding the Fourth Proportional to 447,205.40, 670,808.10 and 402,968.60

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Solution

The fourth proportional to 447,205.40, 670,808.10 and 402,968.60 is: 604,452.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,205.40 : 670,808.10 = 402,968.60 : x
  2. Step 2: Convert to fraction form
    447,205.40/670,808.10 = 402,968.60/x
  3. Step 3: Cross multiply
    447,205.40x = 670,808.10 × 402,968.60
  4. Step 4: Simplify right side
    447,205.40x = 270,314,600,925.66
  5. Step 5: Solve for x
    x = 270,314,600,925.66/447,205.40
  6. Step 6: Final answer
    x = 604,452.90

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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.