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Finding the Fourth Proportional to 280,802.32, 387,507.12 and 159,954.80

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Solution

The fourth proportional to 280,802.32, 387,507.12 and 159,954.80 is: 220,737.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,802.32 : 387,507.12 = 159,954.80 : x
  2. Step 2: Convert to fraction form
    280,802.32/387,507.12 = 159,954.80/x
  3. Step 3: Cross multiply
    280,802.32x = 387,507.12 × 159,954.80
  4. Step 4: Simplify right side
    280,802.32x = 61,983,623,878.18
  5. Step 5: Solve for x
    x = 61,983,623,878.18/280,802.32
  6. Step 6: Final answer
    x = 220,737.58

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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.