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Finding the Fourth Proportional to 605,140.90, 907,711.35 and 406,075.30

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Solution

The fourth proportional to 605,140.90, 907,711.35 and 406,075.30 is: 609,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,140.90 : 907,711.35 = 406,075.30 : x
  2. Step 2: Convert to fraction form
    605,140.90/907,711.35 = 406,075.30/x
  3. Step 3: Cross multiply
    605,140.90x = 907,711.35 × 406,075.30
  4. Step 4: Simplify right side
    605,140.90x = 368,599,158,764.66
  5. Step 5: Solve for x
    x = 368,599,158,764.66/605,140.90
  6. Step 6: Final answer
    x = 609,112.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.