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Finding the Fourth Proportional to 1,706,420, 2,560,051 and 508,337.66

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Solution

The fourth proportional to 1,706,420, 2,560,051 and 508,337.66 is: 762,631.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706,420 : 2,560,051 = 508,337.66 : x
  2. Step 2: Convert to fraction form
    1,706,420/2,560,051 = 508,337.66/x
  3. Step 3: Cross multiply
    1,706,420x = 2,560,051 × 508,337.66
  4. Step 4: Simplify right side
    1,706,420x = 1,301,370,334,820.66
  5. Step 5: Solve for x
    x = 1,301,370,334,820.66/1,706,420
  6. Step 6: Final answer
    x = 762,631.90

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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.