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Finding the Fourth Proportional to 369,642.90, 510,114.60 and 208,466.40

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Solution

The fourth proportional to 369,642.90, 510,114.60 and 208,466.40 is: 287,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,642.90 : 510,114.60 = 208,466.40 : x
  2. Step 2: Convert to fraction form
    369,642.90/510,114.60 = 208,466.40/x
  3. Step 3: Cross multiply
    369,642.90x = 510,114.60 × 208,466.40
  4. Step 4: Simplify right side
    369,642.90x = 106,341,754,249.44
  5. Step 5: Solve for x
    x = 106,341,754,249.44/369,642.90
  6. Step 6: Final answer
    x = 287,687.80

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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.