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Finding the Fourth Proportional to 602,010.12, 830,789.82 and 340,344.60

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Solution

The fourth proportional to 602,010.12, 830,789.82 and 340,344.60 is: 469,684.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,010.12 : 830,789.82 = 340,344.60 : x
  2. Step 2: Convert to fraction form
    602,010.12/830,789.82 = 340,344.60/x
  3. Step 3: Cross multiply
    602,010.12x = 830,789.82 × 340,344.60
  4. Step 4: Simplify right side
    602,010.12x = 282,754,828,971.97
  5. Step 5: Solve for x
    x = 282,754,828,971.97/602,010.12
  6. Step 6: Final answer
    x = 469,684.51

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1.5x scale

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.