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Finding the Fourth Proportional to 340,262.98, 510,394.47 and 90,938.50

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Solution

The fourth proportional to 340,262.98, 510,394.47 and 90,938.50 is: 136,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,262.98 : 510,394.47 = 90,938.50 : x
  2. Step 2: Convert to fraction form
    340,262.98/510,394.47 = 90,938.50/x
  3. Step 3: Cross multiply
    340,262.98x = 510,394.47 × 90,938.50
  4. Step 4: Simplify right side
    340,262.98x = 46,414,507,510.10
  5. Step 5: Solve for x
    x = 46,414,507,510.10/340,262.98
  6. Step 6: Final answer
    x = 136,407.75

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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.