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Finding the Fourth Proportional to 770,549, 1,063,357.62 and 502,277

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Solution

The fourth proportional to 770,549, 1,063,357.62 and 502,277 is: 693,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,549 : 1,063,357.62 = 502,277 : x
  2. Step 2: Convert to fraction form
    770,549/1,063,357.62 = 502,277/x
  3. Step 3: Cross multiply
    770,549x = 1,063,357.62 × 502,277
  4. Step 4: Simplify right side
    770,549x = 534,100,075,300.74
  5. Step 5: Solve for x
    x = 534,100,075,300.74/770,549
  6. Step 6: Final answer
    x = 693,142.26

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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.