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Finding the Fourth Proportional to 413,981.10, 620,971.65 and 413,981.10

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Solution

The fourth proportional to 413,981.10, 620,971.65 and 413,981.10 is: 620,971.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,981.10 : 620,971.65 = 413,981.10 : x
  2. Step 2: Convert to fraction form
    413,981.10/620,971.65 = 413,981.10/x
  3. Step 3: Cross multiply
    413,981.10x = 620,971.65 × 413,981.10
  4. Step 4: Simplify right side
    413,981.10x = 257,070,526,735.82
  5. Step 5: Solve for x
    x = 257,070,526,735.82/413,981.10
  6. Step 6: Final answer
    x = 620,971.65

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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.