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Finding the Fourth Proportional to 280,643.52, 387,283.20 and 153,315.84

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Solution

The fourth proportional to 280,643.52, 387,283.20 and 153,315.84 is: 211,573.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,643.52 : 387,283.20 = 153,315.84 : x
  2. Step 2: Convert to fraction form
    280,643.52/387,283.20 = 153,315.84/x
  3. Step 3: Cross multiply
    280,643.52x = 387,283.20 × 153,315.84
  4. Step 4: Simplify right side
    280,643.52x = 59,376,649,125.89
  5. Step 5: Solve for x
    x = 59,376,649,125.89/280,643.52
  6. Step 6: Final answer
    x = 211,573.21

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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.