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Finding the Fourth Proportional to 402,050.40, 603,075.60 and 121,531.20

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Solution

The fourth proportional to 402,050.40, 603,075.60 and 121,531.20 is: 182,296.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,050.40 : 603,075.60 = 121,531.20 : x
  2. Step 2: Convert to fraction form
    402,050.40/603,075.60 = 121,531.20/x
  3. Step 3: Cross multiply
    402,050.40x = 603,075.60 × 121,531.20
  4. Step 4: Simplify right side
    402,050.40x = 73,292,501,358.72
  5. Step 5: Solve for x
    x = 73,292,501,358.72/402,050.40
  6. Step 6: Final answer
    x = 182,296.80

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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.