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Finding the Fourth Proportional to 278,670.84, 384,515.82 and 165,521.40

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Solution

The fourth proportional to 278,670.84, 384,515.82 and 165,521.40 is: 228,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,670.84 : 384,515.82 = 165,521.40 : x
  2. Step 2: Convert to fraction form
    278,670.84/384,515.82 = 165,521.40/x
  3. Step 3: Cross multiply
    278,670.84x = 384,515.82 × 165,521.40
  4. Step 4: Simplify right side
    278,670.84x = 63,645,596,848.55
  5. Step 5: Solve for x
    x = 63,645,596,848.55/278,670.84
  6. Step 6: Final answer
    x = 228,389.87

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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.