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Finding the Fourth Proportional to 340,285.30, 510,427.94 and 103,628

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Solution

The fourth proportional to 340,285.30, 510,427.94 and 103,628 is: 155,442.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,285.30 : 510,427.94 = 103,628 : x
  2. Step 2: Convert to fraction form
    340,285.30/510,427.94 = 103,628/x
  3. Step 3: Cross multiply
    340,285.30x = 510,427.94 × 103,628
  4. Step 4: Simplify right side
    340,285.30x = 52,894,626,566.32
  5. Step 5: Solve for x
    x = 52,894,626,566.32/340,285.30
  6. Step 6: Final answer
    x = 155,442.00

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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.