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Finding the Fourth Proportional to 319,598.98, 440,888.61 and 209,152.24

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Solution

The fourth proportional to 319,598.98, 440,888.61 and 209,152.24 is: 288,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,598.98 : 440,888.61 = 209,152.24 : x
  2. Step 2: Convert to fraction form
    319,598.98/440,888.61 = 209,152.24/x
  3. Step 3: Cross multiply
    319,598.98x = 440,888.61 × 209,152.24
  4. Step 4: Simplify right side
    319,598.98x = 92,212,840,371.99
  5. Step 5: Solve for x
    x = 92,212,840,371.99/319,598.98
  6. Step 6: Final answer
    x = 288,526.70

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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.