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Finding the Fourth Proportional to 362,502.40, 542,678.40 and 269,420.80

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Solution

The fourth proportional to 362,502.40, 542,678.40 and 269,420.80 is: 403,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,502.40 : 542,678.40 = 269,420.80 : x
  2. Step 2: Convert to fraction form
    362,502.40/542,678.40 = 269,420.80/x
  3. Step 3: Cross multiply
    362,502.40x = 542,678.40 × 269,420.80
  4. Step 4: Simplify right side
    362,502.40x = 146,208,848,670.72
  5. Step 5: Solve for x
    x = 146,208,848,670.72/362,502.40
  6. Step 6: Final answer
    x = 403,332.08

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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.