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Finding the Fourth Proportional to 280,054.26, 386,484.21 and 152,737.02

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Solution

The fourth proportional to 280,054.26, 386,484.21 and 152,737.02 is: 210,782.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,054.26 : 386,484.21 = 152,737.02 : x
  2. Step 2: Convert to fraction form
    280,054.26/386,484.21 = 152,737.02/x
  3. Step 3: Cross multiply
    280,054.26x = 386,484.21 × 152,737.02
  4. Step 4: Simplify right side
    280,054.26x = 59,030,446,512.45
  5. Step 5: Solve for x
    x = 59,030,446,512.45/280,054.26
  6. Step 6: Final answer
    x = 210,782.18

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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.