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Finding the Fourth Proportional to 403,435.40, 604,978.13 and 137,124.41

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Solution

The fourth proportional to 403,435.40, 604,978.13 and 137,124.41 is: 205,627.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,435.40 : 604,978.13 = 137,124.41 : x
  2. Step 2: Convert to fraction form
    403,435.40/604,978.13 = 137,124.41/x
  3. Step 3: Cross multiply
    403,435.40x = 604,978.13 × 137,124.41
  4. Step 4: Simplify right side
    403,435.40x = 82,957,266,457.07
  5. Step 5: Solve for x
    x = 82,957,266,457.07/403,435.40
  6. Step 6: Final answer
    x = 205,627.14

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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.