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Finding the Fourth Proportional to 280,257.19, 386,763.12 and 152,940.98

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Solution

The fourth proportional to 280,257.19, 386,763.12 and 152,940.98 is: 211,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,257.19 : 386,763.12 = 152,940.98 : x
  2. Step 2: Convert to fraction form
    280,257.19/386,763.12 = 152,940.98/x
  3. Step 3: Cross multiply
    280,257.19x = 386,763.12 × 152,940.98
  4. Step 4: Simplify right side
    280,257.19x = 59,151,931,567.57
  5. Step 5: Solve for x
    x = 59,151,931,567.57/280,257.19
  6. Step 6: Final answer
    x = 211,063.03

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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.