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Finding the Fourth Proportional to 304,483,515.57, 420,191,282.57 and 165,255,946.29

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Solution

The fourth proportional to 304,483,515.57, 420,191,282.57 and 165,255,946.29 is: 228,055,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,483,515.57 : 420,191,282.57 = 165,255,946.29 : x
  2. Step 2: Convert to fraction form
    304,483,515.57/420,191,282.57 = 165,255,946.29/x
  3. Step 3: Cross multiply
    304,483,515.57x = 420,191,282.57 × 165,255,946.29
  4. Step 4: Simplify right side
    304,483,515.57x = 69,439,108,023,087,848
  5. Step 5: Solve for x
    x = 69,439,108,023,087,848/304,483,515.57
  6. Step 6: Final answer
    x = 228,055,393.72

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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.