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Finding the Fourth Proportional to 742,172.50, 1,024,200.03 and 402,640.75

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Solution

The fourth proportional to 742,172.50, 1,024,200.03 and 402,640.75 is: 555,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,172.50 : 1,024,200.03 = 402,640.75 : x
  2. Step 2: Convert to fraction form
    742,172.50/1,024,200.03 = 402,640.75/x
  3. Step 3: Cross multiply
    742,172.50x = 1,024,200.03 × 402,640.75
  4. Step 4: Simplify right side
    742,172.50x = 412,384,668,229.22
  5. Step 5: Solve for x
    x = 412,384,668,229.22/742,172.50
  6. Step 6: Final answer
    x = 555,645.31

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1.5x scale

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.