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Finding the Fourth Proportional to 779,006, 1,075,028.28 and 421,310

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Solution

The fourth proportional to 779,006, 1,075,028.28 and 421,310 is: 581,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,006 : 1,075,028.28 = 421,310 : x
  2. Step 2: Convert to fraction form
    779,006/1,075,028.28 = 421,310/x
  3. Step 3: Cross multiply
    779,006x = 1,075,028.28 × 421,310
  4. Step 4: Simplify right side
    779,006x = 452,920,164,646.80
  5. Step 5: Solve for x
    x = 452,920,164,646.80/779,006
  6. Step 6: Final answer
    x = 581,407.80

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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.