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Finding the Fourth Proportional to 403,400.80, 604,064.40 and 297,647.20

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Solution

The fourth proportional to 403,400.80, 604,064.40 and 297,647.20 is: 445,705.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,400.80 : 604,064.40 = 297,647.20 : x
  2. Step 2: Convert to fraction form
    403,400.80/604,064.40 = 297,647.20/x
  3. Step 3: Cross multiply
    403,400.80x = 604,064.40 × 297,647.20
  4. Step 4: Simplify right side
    403,400.80x = 179,798,077,279.68
  5. Step 5: Solve for x
    x = 179,798,077,279.68/403,400.80
  6. Step 6: Final answer
    x = 445,705.80

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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.