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Finding the Fourth Proportional to 280,682.64, 387,344.16 and 153,358.08

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Solution

The fourth proportional to 280,682.64, 387,344.16 and 153,358.08 is: 211,635.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,682.64 : 387,344.16 = 153,358.08 : x
  2. Step 2: Convert to fraction form
    280,682.64/387,344.16 = 153,358.08/x
  3. Step 3: Cross multiply
    280,682.64x = 387,344.16 × 153,358.08
  4. Step 4: Simplify right side
    280,682.64x = 59,402,356,676.81
  5. Step 5: Solve for x
    x = 59,402,356,676.81/280,682.64
  6. Step 6: Final answer
    x = 211,635.31

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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.