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Finding the Fourth Proportional to 280,771.38, 387,463.56 and 153,446.94

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Solution

The fourth proportional to 280,771.38, 387,463.56 and 153,446.94 is: 211,756.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,771.38 : 387,463.56 = 153,446.94 : x
  2. Step 2: Convert to fraction form
    280,771.38/387,463.56 = 153,446.94/x
  3. Step 3: Cross multiply
    280,771.38x = 387,463.56 × 153,446.94
  4. Step 4: Simplify right side
    280,771.38x = 59,455,097,643.51
  5. Step 5: Solve for x
    x = 59,455,097,643.51/280,771.38
  6. Step 6: Final answer
    x = 211,756.26

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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.