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Finding the Fourth Proportional to 340,085.30, 510,147.15 and 103,435.70

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Solution

The fourth proportional to 340,085.30, 510,147.15 and 103,435.70 is: 155,159.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,085.30 : 510,147.15 = 103,435.70 : x
  2. Step 2: Convert to fraction form
    340,085.30/510,147.15 = 103,435.70/x
  3. Step 3: Cross multiply
    340,085.30x = 510,147.15 × 103,435.70
  4. Step 4: Simplify right side
    340,085.30x = 52,767,427,563.26
  5. Step 5: Solve for x
    x = 52,767,427,563.26/340,085.30
  6. Step 6: Final answer
    x = 155,159.39

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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.