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Finding the Fourth Proportional to 340,266.90, 510,400.35 and 238,790.10

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Solution

The fourth proportional to 340,266.90, 510,400.35 and 238,790.10 is: 358,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,266.90 : 510,400.35 = 238,790.10 : x
  2. Step 2: Convert to fraction form
    340,266.90/510,400.35 = 238,790.10/x
  3. Step 3: Cross multiply
    340,266.90x = 510,400.35 × 238,790.10
  4. Step 4: Simplify right side
    340,266.90x = 121,878,550,616.54
  5. Step 5: Solve for x
    x = 121,878,550,616.54/340,266.90
  6. Step 6: Final answer
    x = 358,185.15

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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.