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Finding the Fourth Proportional to 280,173.63, 386,643.95 and 152,849.23

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Solution

The fourth proportional to 280,173.63, 386,643.95 and 152,849.23 is: 210,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,173.63 : 386,643.95 = 152,849.23 : x
  2. Step 2: Convert to fraction form
    280,173.63/386,643.95 = 152,849.23/x
  3. Step 3: Cross multiply
    280,173.63x = 386,643.95 × 152,849.23
  4. Step 4: Simplify right side
    280,173.63x = 59,098,228,883.99
  5. Step 5: Solve for x
    x = 59,098,228,883.99/280,173.63
  6. Step 6: Final answer
    x = 210,934.30

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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.