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Finding the Fourth Proportional to 620,829.84, 857,055.20 and 406,297.59

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Solution

The fourth proportional to 620,829.84, 857,055.20 and 406,297.59 is: 560,893.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,829.84 : 857,055.20 = 406,297.59 : x
  2. Step 2: Convert to fraction form
    620,829.84/857,055.20 = 406,297.59/x
  3. Step 3: Cross multiply
    620,829.84x = 857,055.20 × 406,297.59
  4. Step 4: Simplify right side
    620,829.84x = 348,219,462,256.97
  5. Step 5: Solve for x
    x = 348,219,462,256.97/620,829.84
  6. Step 6: Final answer
    x = 560,893.57

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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.