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Finding the Fourth Proportional to 288,364, 397,913.16 and 165,853.12

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Solution

The fourth proportional to 288,364, 397,913.16 and 165,853.12 is: 228,860.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,364 : 397,913.16 = 165,853.12 : x
  2. Step 2: Convert to fraction form
    288,364/397,913.16 = 165,853.12/x
  3. Step 3: Cross multiply
    288,364x = 397,913.16 × 165,853.12
  4. Step 4: Simplify right side
    288,364x = 65,995,139,075.06
  5. Step 5: Solve for x
    x = 65,995,139,075.06/288,364
  6. Step 6: Final answer
    x = 228,860.53

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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.