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Finding the Fourth Proportional to 403,422, 604,403.04 and 290,490.80

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Solution

The fourth proportional to 403,422, 604,403.04 and 290,490.80 is: 435,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,422 : 604,403.04 = 290,490.80 : x
  2. Step 2: Convert to fraction form
    403,422/604,403.04 = 290,490.80/x
  3. Step 3: Cross multiply
    403,422x = 604,403.04 × 290,490.80
  4. Step 4: Simplify right side
    403,422x = 175,573,522,612.03
  5. Step 5: Solve for x
    x = 175,573,522,612.03/403,422
  6. Step 6: Final answer
    x = 435,210.58

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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.