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Finding the Fourth Proportional to 431,483.40, 648,002.70 and 417,486.60

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Solution

The fourth proportional to 431,483.40, 648,002.70 and 417,486.60 is: 626,982.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,483.40 : 648,002.70 = 417,486.60 : x
  2. Step 2: Convert to fraction form
    431,483.40/648,002.70 = 417,486.60/x
  3. Step 3: Cross multiply
    431,483.40x = 648,002.70 × 417,486.60
  4. Step 4: Simplify right side
    431,483.40x = 270,532,444,013.82
  5. Step 5: Solve for x
    x = 270,532,444,013.82/431,483.40
  6. Step 6: Final answer
    x = 626,982.28

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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.