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Finding the Fourth Proportional to 779,374, 1,075,536.12 and 421,678

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Solution

The fourth proportional to 779,374, 1,075,536.12 and 421,678 is: 581,915.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,374 : 1,075,536.12 = 421,678 : x
  2. Step 2: Convert to fraction form
    779,374/1,075,536.12 = 421,678/x
  3. Step 3: Cross multiply
    779,374x = 1,075,536.12 × 421,678
  4. Step 4: Simplify right side
    779,374x = 453,529,920,009.36
  5. Step 5: Solve for x
    x = 453,529,920,009.36/779,374
  6. Step 6: Final answer
    x = 581,915.64

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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.