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Finding the Fourth Proportional to 280,762.32, 387,470.70 and 158,284.92

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Solution

The fourth proportional to 280,762.32, 387,470.70 and 158,284.92 is: 218,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,762.32 : 387,470.70 = 158,284.92 : x
  2. Step 2: Convert to fraction form
    280,762.32/387,470.70 = 158,284.92/x
  3. Step 3: Cross multiply
    280,762.32x = 387,470.70 × 158,284.92
  4. Step 4: Simplify right side
    280,762.32x = 61,330,768,751.84
  5. Step 5: Solve for x
    x = 61,330,768,751.84/280,762.32
  6. Step 6: Final answer
    x = 218,443.73

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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.