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Finding the Fourth Proportional to 392,447.16, 540,545.40 and 301,629.42

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Solution

The fourth proportional to 392,447.16, 540,545.40 and 301,629.42 is: 415,455.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,447.16 : 540,545.40 = 301,629.42 : x
  2. Step 2: Convert to fraction form
    392,447.16/540,545.40 = 301,629.42/x
  3. Step 3: Cross multiply
    392,447.16x = 540,545.40 × 301,629.42
  4. Step 4: Simplify right side
    392,447.16x = 163,044,395,485.67
  5. Step 5: Solve for x
    x = 163,044,395,485.67/392,447.16
  6. Step 6: Final answer
    x = 415,455.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.