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Finding the Fourth Proportional to 287,034.76, 430,554.30 and 100,046.44

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Solution

The fourth proportional to 287,034.76, 430,554.30 and 100,046.44 is: 150,070.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,034.76 : 430,554.30 = 100,046.44 : x
  2. Step 2: Convert to fraction form
    287,034.76/430,554.30 = 100,046.44/x
  3. Step 3: Cross multiply
    287,034.76x = 430,554.30 × 100,046.44
  4. Step 4: Simplify right side
    287,034.76x = 43,075,424,941.69
  5. Step 5: Solve for x
    x = 43,075,424,941.69/287,034.76
  6. Step 6: Final answer
    x = 150,070.41

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1.5x scale

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.