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Finding the Fourth Proportional to 746,319, 1,029,920.94 and 406,788.60

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Solution

The fourth proportional to 746,319, 1,029,920.94 and 406,788.60 is: 561,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,319 : 1,029,920.94 = 406,788.60 : x
  2. Step 2: Convert to fraction form
    746,319/1,029,920.94 = 406,788.60/x
  3. Step 3: Cross multiply
    746,319x = 1,029,920.94 × 406,788.60
  4. Step 4: Simplify right side
    746,319x = 418,960,097,293.28
  5. Step 5: Solve for x
    x = 418,960,097,293.28/746,319
  6. Step 6: Final answer
    x = 561,368.66

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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.