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Finding the Fourth Proportional to 702,784.10, 969,830.31 and 380,491.58

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Solution

The fourth proportional to 702,784.10, 969,830.31 and 380,491.58 is: 525,072.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,784.10 : 969,830.31 = 380,491.58 : x
  2. Step 2: Convert to fraction form
    702,784.10/969,830.31 = 380,491.58/x
  3. Step 3: Cross multiply
    702,784.10x = 969,830.31 × 380,491.58
  4. Step 4: Simplify right side
    702,784.10x = 369,012,266,983.79
  5. Step 5: Solve for x
    x = 369,012,266,983.79/702,784.10
  6. Step 6: Final answer
    x = 525,072.02

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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.