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Finding the Fourth Proportional to 455,946.60, 684,114.30 and 219,167.40

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Solution

The fourth proportional to 455,946.60, 684,114.30 and 219,167.40 is: 328,844.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,946.60 : 684,114.30 = 219,167.40 : x
  2. Step 2: Convert to fraction form
    455,946.60/684,114.30 = 219,167.40/x
  3. Step 3: Cross multiply
    455,946.60x = 684,114.30 × 219,167.40
  4. Step 4: Simplify right side
    455,946.60x = 149,935,552,433.82
  5. Step 5: Solve for x
    x = 149,935,552,433.82/455,946.60
  6. Step 6: Final answer
    x = 328,844.55

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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.