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Finding the Fourth Proportional to 280,852.32, 387,584.64 and 153,534.72

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Solution

The fourth proportional to 280,852.32, 387,584.64 and 153,534.72 is: 211,882.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,852.32 : 387,584.64 = 153,534.72 : x
  2. Step 2: Convert to fraction form
    280,852.32/387,584.64 = 153,534.72/x
  3. Step 3: Cross multiply
    280,852.32x = 387,584.64 × 153,534.72
  4. Step 4: Simplify right side
    280,852.32x = 59,507,699,178.70
  5. Step 5: Solve for x
    x = 59,507,699,178.70/280,852.32
  6. Step 6: Final answer
    x = 211,882.53

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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.