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Finding the Fourth Proportional to 281,359,951.90, 422,039,927.85 and 256,277,686.30

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Solution

The fourth proportional to 281,359,951.90, 422,039,927.85 and 256,277,686.30 is: 384,416,529.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,359,951.90 : 422,039,927.85 = 256,277,686.30 : x
  2. Step 2: Convert to fraction form
    281,359,951.90/422,039,927.85 = 256,277,686.30/x
  3. Step 3: Cross multiply
    281,359,951.90x = 422,039,927.85 × 256,277,686.30
  4. Step 4: Simplify right side
    281,359,951.90x = 108,159,416,235,616,944
  5. Step 5: Solve for x
    x = 108,159,416,235,616,944/281,359,951.90
  6. Step 6: Final answer
    x = 384,416,529.45

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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.