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Finding the Fourth Proportional to 285,946.90, 428,920.35 and 72,714.40

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Solution

The fourth proportional to 285,946.90, 428,920.35 and 72,714.40 is: 109,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,946.90 : 428,920.35 = 72,714.40 : x
  2. Step 2: Convert to fraction form
    285,946.90/428,920.35 = 72,714.40/x
  3. Step 3: Cross multiply
    285,946.90x = 428,920.35 × 72,714.40
  4. Step 4: Simplify right side
    285,946.90x = 31,188,685,898.04
  5. Step 5: Solve for x
    x = 31,188,685,898.04/285,946.90
  6. Step 6: Final answer
    x = 109,071.60

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1.5x scale

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.