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Finding the Fourth Proportional to 492,878.60, 738,281.10 and 409,934.60

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Solution

The fourth proportional to 492,878.60, 738,281.10 and 409,934.60 is: 614,039.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,878.60 : 738,281.10 = 409,934.60 : x
  2. Step 2: Convert to fraction form
    492,878.60/738,281.10 = 409,934.60/x
  3. Step 3: Cross multiply
    492,878.60x = 738,281.10 × 409,934.60
  4. Step 4: Simplify right side
    492,878.60x = 302,646,967,416.06
  5. Step 5: Solve for x
    x = 302,646,967,416.06/492,878.60
  6. Step 6: Final answer
    x = 614,039.58

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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.