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Finding the Fourth Proportional to 280,989.64, 387,768.77 and 153,662.50

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Solution

The fourth proportional to 280,989.64, 387,768.77 and 153,662.50 is: 212,055.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,989.64 : 387,768.77 = 153,662.50 : x
  2. Step 2: Convert to fraction form
    280,989.64/387,768.77 = 153,662.50/x
  3. Step 3: Cross multiply
    280,989.64x = 387,768.77 × 153,662.50
  4. Step 4: Simplify right side
    280,989.64x = 59,585,518,620.13
  5. Step 5: Solve for x
    x = 59,585,518,620.13/280,989.64
  6. Step 6: Final answer
    x = 212,055.93

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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.