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Finding the Fourth Proportional to 319,597.98, 440,887.23 and 209,151.24

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Solution

The fourth proportional to 319,597.98, 440,887.23 and 209,151.24 is: 288,525.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,597.98 : 440,887.23 = 209,151.24 : x
  2. Step 2: Convert to fraction form
    319,597.98/440,887.23 = 209,151.24/x
  3. Step 3: Cross multiply
    319,597.98x = 440,887.23 × 209,151.24
  4. Step 4: Simplify right side
    319,597.98x = 92,212,110,854.67
  5. Step 5: Solve for x
    x = 92,212,110,854.67/319,597.98
  6. Step 6: Final answer
    x = 288,525.32

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1.5x scale

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.