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Finding the Fourth Proportional to 369,720.72, 510,212.52 and 208,577.16

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Solution

The fourth proportional to 369,720.72, 510,212.52 and 208,577.16 is: 287,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,720.72 : 510,212.52 = 208,577.16 : x
  2. Step 2: Convert to fraction form
    369,720.72/510,212.52 = 208,577.16/x
  3. Step 3: Cross multiply
    369,720.72x = 510,212.52 × 208,577.16
  4. Step 4: Simplify right side
    369,720.72x = 106,418,678,418.04
  5. Step 5: Solve for x
    x = 106,418,678,418.04/369,720.72
  6. Step 6: Final answer
    x = 287,835.31

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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.