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Finding the Fourth Proportional to 616,394, 850,623.72 and 333,770

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Solution

The fourth proportional to 616,394, 850,623.72 and 333,770 is: 460,602.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,394 : 850,623.72 = 333,770 : x
  2. Step 2: Convert to fraction form
    616,394/850,623.72 = 333,770/x
  3. Step 3: Cross multiply
    616,394x = 850,623.72 × 333,770
  4. Step 4: Simplify right side
    616,394x = 283,912,679,024.40
  5. Step 5: Solve for x
    x = 283,912,679,024.40/616,394
  6. Step 6: Final answer
    x = 460,602.60

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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.