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Finding the Fourth Proportional to 443,365.32, 611,840.34 and 242,157

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Solution

The fourth proportional to 443,365.32, 611,840.34 and 242,157 is: 334,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,365.32 : 611,840.34 = 242,157 : x
  2. Step 2: Convert to fraction form
    443,365.32/611,840.34 = 242,157/x
  3. Step 3: Cross multiply
    443,365.32x = 611,840.34 × 242,157
  4. Step 4: Simplify right side
    443,365.32x = 148,161,421,213.38
  5. Step 5: Solve for x
    x = 148,161,421,213.38/443,365.32
  6. Step 6: Final answer
    x = 334,174.58

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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.