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Finding the Fourth Proportional to 305,681.61, 421,547.46 and 196,674.69

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Solution

The fourth proportional to 305,681.61, 421,547.46 and 196,674.69 is: 271,222.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,681.61 : 421,547.46 = 196,674.69 : x
  2. Step 2: Convert to fraction form
    305,681.61/421,547.46 = 196,674.69/x
  3. Step 3: Cross multiply
    305,681.61x = 421,547.46 × 196,674.69
  4. Step 4: Simplify right side
    305,681.61x = 82,907,716,015.79
  5. Step 5: Solve for x
    x = 82,907,716,015.79/305,681.61
  6. Step 6: Final answer
    x = 271,222.45

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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.