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Finding the Fourth Proportional to 404,784.54, 607,130.64 and 138,510

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Solution

The fourth proportional to 404,784.54, 607,130.64 and 138,510 is: 207,749.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,784.54 : 607,130.64 = 138,510 : x
  2. Step 2: Convert to fraction form
    404,784.54/607,130.64 = 138,510/x
  3. Step 3: Cross multiply
    404,784.54x = 607,130.64 × 138,510
  4. Step 4: Simplify right side
    404,784.54x = 84,093,664,946.40
  5. Step 5: Solve for x
    x = 84,093,664,946.40/404,784.54
  6. Step 6: Final answer
    x = 207,749.20

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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.