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Finding the Fourth Proportional to 280,038.04, 419,157.90 and 146,728.20

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Solution

The fourth proportional to 280,038.04, 419,157.90 and 146,728.20 is: 219,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,038.04 : 419,157.90 = 146,728.20 : x
  2. Step 2: Convert to fraction form
    280,038.04/419,157.90 = 146,728.20/x
  3. Step 3: Cross multiply
    280,038.04x = 419,157.90 × 146,728.20
  4. Step 4: Simplify right side
    280,038.04x = 61,502,284,182.78
  5. Step 5: Solve for x
    x = 61,502,284,182.78/280,038.04
  6. Step 6: Final answer
    x = 219,621.18

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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.