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Finding the Fourth Proportional to 602,472.16, 830,729.84 and 384,388.96

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Solution

The fourth proportional to 602,472.16, 830,729.84 and 384,388.96 is: 530,021.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,472.16 : 830,729.84 = 384,388.96 : x
  2. Step 2: Convert to fraction form
    602,472.16/830,729.84 = 384,388.96/x
  3. Step 3: Cross multiply
    602,472.16x = 830,729.84 × 384,388.96
  4. Step 4: Simplify right side
    602,472.16x = 319,323,379,238.57
  5. Step 5: Solve for x
    x = 319,323,379,238.57/602,472.16
  6. Step 6: Final answer
    x = 530,021.80

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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.