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Finding the Fourth Proportional to 413,771,214.40, 620,569,730.40 and 209,106,894.40

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Solution

The fourth proportional to 413,771,214.40, 620,569,730.40 and 209,106,894.40 is: 313,616,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,771,214.40 : 620,569,730.40 = 209,106,894.40 : x
  2. Step 2: Convert to fraction form
    413,771,214.40/620,569,730.40 = 209,106,894.40/x
  3. Step 3: Cross multiply
    413,771,214.40x = 620,569,730.40 × 209,106,894.40
  4. Step 4: Simplify right side
    413,771,214.40x = 129,765,409,082,589,264
  5. Step 5: Solve for x
    x = 129,765,409,082,589,264/413,771,214.40
  6. Step 6: Final answer
    x = 313,616,328.46

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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.