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Finding the Fourth Proportional to 314,421.65, 433,888.82 and 178,453.13

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Solution

The fourth proportional to 314,421.65, 433,888.82 and 178,453.13 is: 246,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,421.65 : 433,888.82 = 178,453.13 : x
  2. Step 2: Convert to fraction form
    314,421.65/433,888.82 = 178,453.13/x
  3. Step 3: Cross multiply
    314,421.65x = 433,888.82 × 178,453.13
  4. Step 4: Simplify right side
    314,421.65x = 77,428,815,608.50
  5. Step 5: Solve for x
    x = 77,428,815,608.50/314,421.65
  6. Step 6: Final answer
    x = 246,257.90

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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.