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Finding the Fourth Proportional to 280,762.64, 387,451.56 and 153,438.23

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Solution

The fourth proportional to 280,762.64, 387,451.56 and 153,438.23 is: 211,744.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,762.64 : 387,451.56 = 153,438.23 : x
  2. Step 2: Convert to fraction form
    280,762.64/387,451.56 = 153,438.23/x
  3. Step 3: Cross multiply
    280,762.64x = 387,451.56 × 153,438.23
  4. Step 4: Simplify right side
    280,762.64x = 59,449,879,639.88
  5. Step 5: Solve for x
    x = 59,449,879,639.88/280,762.64
  6. Step 6: Final answer
    x = 211,744.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.