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Finding the Fourth Proportional to 501,748.39, 692,312.61 and 305,383.34

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Solution

The fourth proportional to 501,748.39, 692,312.61 and 305,383.34 is: 421,368.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,748.39 : 692,312.61 = 305,383.34 : x
  2. Step 2: Convert to fraction form
    501,748.39/692,312.61 = 305,383.34/x
  3. Step 3: Cross multiply
    501,748.39x = 692,312.61 × 305,383.34
  4. Step 4: Simplify right side
    501,748.39x = 211,420,737,165.92
  5. Step 5: Solve for x
    x = 211,420,737,165.92/501,748.39
  6. Step 6: Final answer
    x = 421,368.05

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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.