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Finding the Fourth Proportional to 314,431.60, 471,647.40 and 156,967.60

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Solution

The fourth proportional to 314,431.60, 471,647.40 and 156,967.60 is: 235,451.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,431.60 : 471,647.40 = 156,967.60 : x
  2. Step 2: Convert to fraction form
    314,431.60/471,647.40 = 156,967.60/x
  3. Step 3: Cross multiply
    314,431.60x = 471,647.40 × 156,967.60
  4. Step 4: Simplify right side
    314,431.60x = 74,033,360,424.24
  5. Step 5: Solve for x
    x = 74,033,360,424.24/314,431.60
  6. Step 6: Final answer
    x = 235,451.40

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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.