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Finding the Fourth Proportional to 779,004, 1,075,025.52 and 421,308

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Solution

The fourth proportional to 779,004, 1,075,025.52 and 421,308 is: 581,405.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,004 : 1,075,025.52 = 421,308 : x
  2. Step 2: Convert to fraction form
    779,004/1,075,025.52 = 421,308/x
  3. Step 3: Cross multiply
    779,004x = 1,075,025.52 × 421,308
  4. Step 4: Simplify right side
    779,004x = 452,916,851,780.16
  5. Step 5: Solve for x
    x = 452,916,851,780.16/779,004
  6. Step 6: Final answer
    x = 581,405.04

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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.