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Finding the Fourth Proportional to 746,254, 1,029,830.52 and 406,723.06

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Solution

The fourth proportional to 746,254, 1,029,830.52 and 406,723.06 is: 561,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,254 : 1,029,830.52 = 406,723.06 : x
  2. Step 2: Convert to fraction form
    746,254/1,029,830.52 = 406,723.06/x
  3. Step 3: Cross multiply
    746,254x = 1,029,830.52 × 406,723.06
  4. Step 4: Simplify right side
    746,254x = 418,855,820,375.79
  5. Step 5: Solve for x
    x = 418,855,820,375.79/746,254
  6. Step 6: Final answer
    x = 561,277.82

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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.