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Finding the Fourth Proportional to 280,392.42, 420,654.93 and 90,852.47

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Solution

The fourth proportional to 280,392.42, 420,654.93 and 90,852.47 is: 136,300.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,392.42 : 420,654.93 = 90,852.47 : x
  2. Step 2: Convert to fraction form
    280,392.42/420,654.93 = 90,852.47/x
  3. Step 3: Cross multiply
    280,392.42x = 420,654.93 × 90,852.47
  4. Step 4: Simplify right side
    280,392.42x = 38,217,539,408.18
  5. Step 5: Solve for x
    x = 38,217,539,408.18/280,392.42
  6. Step 6: Final answer
    x = 136,300.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.