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Finding the Fourth Proportional to 288,729.84, 433,094.64 and 78,398.64

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Solution

The fourth proportional to 288,729.84, 433,094.64 and 78,398.64 is: 117,597.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,729.84 : 433,094.64 = 78,398.64 : x
  2. Step 2: Convert to fraction form
    288,729.84/433,094.64 = 78,398.64/x
  3. Step 3: Cross multiply
    288,729.84x = 433,094.64 × 78,398.64
  4. Step 4: Simplify right side
    288,729.84x = 33,954,030,767.29
  5. Step 5: Solve for x
    x = 33,954,030,767.29/288,729.84
  6. Step 6: Final answer
    x = 117,597.93

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1.5x scale

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.