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Finding the Fourth Proportional to 280,070.16, 420,280.20 and 113,858.16

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Solution

The fourth proportional to 280,070.16, 420,280.20 and 113,858.16 is: 170,858.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,070.16 : 420,280.20 = 113,858.16 : x
  2. Step 2: Convert to fraction form
    280,070.16/420,280.20 = 113,858.16/x
  3. Step 3: Cross multiply
    280,070.16x = 420,280.20 × 113,858.16
  4. Step 4: Simplify right side
    280,070.16x = 47,852,330,256.43
  5. Step 5: Solve for x
    x = 47,852,330,256.43/280,070.16
  6. Step 6: Final answer
    x = 170,858.37

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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.