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Finding the Fourth Proportional to 473,003.20, 709,504.80 and 402,144.40

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Solution

The fourth proportional to 473,003.20, 709,504.80 and 402,144.40 is: 603,216.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,003.20 : 709,504.80 = 402,144.40 : x
  2. Step 2: Convert to fraction form
    473,003.20/709,504.80 = 402,144.40/x
  3. Step 3: Cross multiply
    473,003.20x = 709,504.80 × 402,144.40
  4. Step 4: Simplify right side
    473,003.20x = 285,323,382,093.12
  5. Step 5: Solve for x
    x = 285,323,382,093.12/473,003.20
  6. Step 6: Final answer
    x = 603,216.60

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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.