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Finding the Fourth Proportional to 280,286, 386,802.88 and 152,969.76

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Solution

The fourth proportional to 280,286, 386,802.88 and 152,969.76 is: 211,102.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,286 : 386,802.88 = 152,969.76 : x
  2. Step 2: Convert to fraction form
    280,286/386,802.88 = 152,969.76/x
  3. Step 3: Cross multiply
    280,286x = 386,802.88 × 152,969.76
  4. Step 4: Simplify right side
    280,286x = 59,169,143,720.91
  5. Step 5: Solve for x
    x = 59,169,143,720.91/280,286
  6. Step 6: Final answer
    x = 211,102.74

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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.