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Finding the Fourth Proportional to 314,959.90, 472,441.59 and 78,302.58

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Solution

The fourth proportional to 314,959.90, 472,441.59 and 78,302.58 is: 117,454.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,959.90 : 472,441.59 = 78,302.58 : x
  2. Step 2: Convert to fraction form
    314,959.90/472,441.59 = 78,302.58/x
  3. Step 3: Cross multiply
    314,959.90x = 472,441.59 × 78,302.58
  4. Step 4: Simplify right side
    314,959.90x = 36,993,395,396.30
  5. Step 5: Solve for x
    x = 36,993,395,396.30/314,959.90
  6. Step 6: Final answer
    x = 117,454.30

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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.