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Finding the Fourth Proportional to 418,999.80, 578,225.10 and 228,018.36

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Solution

The fourth proportional to 418,999.80, 578,225.10 and 228,018.36 is: 314,668.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,999.80 : 578,225.10 = 228,018.36 : x
  2. Step 2: Convert to fraction form
    418,999.80/578,225.10 = 228,018.36/x
  3. Step 3: Cross multiply
    418,999.80x = 578,225.10 × 228,018.36
  4. Step 4: Simplify right side
    418,999.80x = 131,845,939,012.84
  5. Step 5: Solve for x
    x = 131,845,939,012.84/418,999.80
  6. Step 6: Final answer
    x = 314,668.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.