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Finding the Fourth Proportional to 779,008, 1,075,031.04 and 421,312

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Solution

The fourth proportional to 779,008, 1,075,031.04 and 421,312 is: 581,410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,008 : 1,075,031.04 = 421,312 : x
  2. Step 2: Convert to fraction form
    779,008/1,075,031.04 = 421,312/x
  3. Step 3: Cross multiply
    779,008x = 1,075,031.04 × 421,312
  4. Step 4: Simplify right side
    779,008x = 452,923,477,524.48
  5. Step 5: Solve for x
    x = 452,923,477,524.48/779,008
  6. Step 6: Final answer
    x = 581,410.56

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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.