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Finding the Fourth Proportional to 556,671.60, 834,351.30 and 416,266.20

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Solution

The fourth proportional to 556,671.60, 834,351.30 and 416,266.20 is: 623,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,671.60 : 834,351.30 = 416,266.20 : x
  2. Step 2: Convert to fraction form
    556,671.60/834,351.30 = 416,266.20/x
  3. Step 3: Cross multiply
    556,671.60x = 834,351.30 × 416,266.20
  4. Step 4: Simplify right side
    556,671.60x = 347,312,245,116.06
  5. Step 5: Solve for x
    x = 347,312,245,116.06/556,671.60
  6. Step 6: Final answer
    x = 623,908.68

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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.