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Finding the Fourth Proportional to 713,805.75, 1,070,658.53 and 334,809.60

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Solution

The fourth proportional to 713,805.75, 1,070,658.53 and 334,809.60 is: 502,190.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,805.75 : 1,070,658.53 = 334,809.60 : x
  2. Step 2: Convert to fraction form
    713,805.75/1,070,658.53 = 334,809.60/x
  3. Step 3: Cross multiply
    713,805.75x = 1,070,658.53 × 334,809.60
  4. Step 4: Simplify right side
    713,805.75x = 358,466,752,491.84
  5. Step 5: Solve for x
    x = 358,466,752,491.84/713,805.75
  6. Step 6: Final answer
    x = 502,190.90

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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.