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Finding the Fourth Proportional to 602,198.40, 830,916 and 357,137.76

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Solution

The fourth proportional to 602,198.40, 830,916 and 357,137.76 is: 492,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,198.40 : 830,916 = 357,137.76 : x
  2. Step 2: Convert to fraction form
    602,198.40/830,916 = 357,137.76/x
  3. Step 3: Cross multiply
    602,198.40x = 830,916 × 357,137.76
  4. Step 4: Simplify right side
    602,198.40x = 296,751,478,988.16
  5. Step 5: Solve for x
    x = 296,751,478,988.16/602,198.40
  6. Step 6: Final answer
    x = 492,780.25

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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.