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Finding the Fourth Proportional to 292,099.20, 438,321.60 and 213,014.40

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Solution

The fourth proportional to 292,099.20, 438,321.60 and 213,014.40 is: 319,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,099.20 : 438,321.60 = 213,014.40 : x
  2. Step 2: Convert to fraction form
    292,099.20/438,321.60 = 213,014.40/x
  3. Step 3: Cross multiply
    292,099.20x = 438,321.60 × 213,014.40
  4. Step 4: Simplify right side
    292,099.20x = 93,368,812,631.04
  5. Step 5: Solve for x
    x = 93,368,812,631.04/292,099.20
  6. Step 6: Final answer
    x = 319,647.62

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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.