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Finding the Fourth Proportional to 345,858.12, 477,315.72 and 209,926.89

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Solution

The fourth proportional to 345,858.12, 477,315.72 and 209,926.89 is: 289,718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,858.12 : 477,315.72 = 209,926.89 : x
  2. Step 2: Convert to fraction form
    345,858.12/477,315.72 = 209,926.89/x
  3. Step 3: Cross multiply
    345,858.12x = 477,315.72 × 209,926.89
  4. Step 4: Simplify right side
    345,858.12x = 100,201,404,647.71
  5. Step 5: Solve for x
    x = 100,201,404,647.71/345,858.12
  6. Step 6: Final answer
    x = 289,718.24

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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.