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Finding the Fourth Proportional to 404,686.60, 607,397.10 and 205,145.80

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Solution

The fourth proportional to 404,686.60, 607,397.10 and 205,145.80 is: 307,904.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,686.60 : 607,397.10 = 205,145.80 : x
  2. Step 2: Convert to fraction form
    404,686.60/607,397.10 = 205,145.80/x
  3. Step 3: Cross multiply
    404,686.60x = 607,397.10 × 205,145.80
  4. Step 4: Simplify right side
    404,686.60x = 124,604,963,997.18
  5. Step 5: Solve for x
    x = 124,604,963,997.18/404,686.60
  6. Step 6: Final answer
    x = 307,904.84

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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.