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Finding the Fourth Proportional to 314,441.61, 433,907.52 and 178,478.34

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Solution

The fourth proportional to 314,441.61, 433,907.52 and 178,478.34 is: 246,287.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,441.61 : 433,907.52 = 178,478.34 : x
  2. Step 2: Convert to fraction form
    314,441.61/433,907.52 = 178,478.34/x
  3. Step 3: Cross multiply
    314,441.61x = 433,907.52 × 178,478.34
  4. Step 4: Simplify right side
    314,441.61x = 77,443,093,883.12
  5. Step 5: Solve for x
    x = 77,443,093,883.12/314,441.61
  6. Step 6: Final answer
    x = 246,287.68

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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.