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Finding the Fourth Proportional to 602,103.78, 830,974.95 and 347,449.50

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Solution

The fourth proportional to 602,103.78, 830,974.95 and 347,449.50 is: 479,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,103.78 : 830,974.95 = 347,449.50 : x
  2. Step 2: Convert to fraction form
    602,103.78/830,974.95 = 347,449.50/x
  3. Step 3: Cross multiply
    602,103.78x = 830,974.95 × 347,449.50
  4. Step 4: Simplify right side
    602,103.78x = 288,721,830,890.03
  5. Step 5: Solve for x
    x = 288,721,830,890.03/602,103.78
  6. Step 6: Final answer
    x = 479,521.70

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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.