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Finding the Fourth Proportional to 392,663.34, 542,148.93 and 263,798.01

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Solution

The fourth proportional to 392,663.34, 542,148.93 and 263,798.01 is: 364,225.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,663.34 : 542,148.93 = 263,798.01 : x
  2. Step 2: Convert to fraction form
    392,663.34/542,148.93 = 263,798.01/x
  3. Step 3: Cross multiply
    392,663.34x = 542,148.93 × 263,798.01
  4. Step 4: Simplify right side
    392,663.34x = 143,017,808,857.63
  5. Step 5: Solve for x
    x = 143,017,808,857.63/392,663.34
  6. Step 6: Final answer
    x = 364,225.01

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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.