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Finding the Fourth Proportional to 340,206.40, 510,309.60 and 238,729.60

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Solution

The fourth proportional to 340,206.40, 510,309.60 and 238,729.60 is: 358,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,206.40 : 510,309.60 = 238,729.60 : x
  2. Step 2: Convert to fraction form
    340,206.40/510,309.60 = 238,729.60/x
  3. Step 3: Cross multiply
    340,206.40x = 510,309.60 × 238,729.60
  4. Step 4: Simplify right side
    340,206.40x = 121,826,006,684.16
  5. Step 5: Solve for x
    x = 121,826,006,684.16/340,206.40
  6. Step 6: Final answer
    x = 358,094.40

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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.