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Finding the Fourth Proportional to 354,375,762.40, 531,563,643.60 and 217,617,695.20

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Solution

The fourth proportional to 354,375,762.40, 531,563,643.60 and 217,617,695.20 is: 326,426,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,375,762.40 : 531,563,643.60 = 217,617,695.20 : x
  2. Step 2: Convert to fraction form
    354,375,762.40/531,563,643.60 = 217,617,695.20/x
  3. Step 3: Cross multiply
    354,375,762.40x = 531,563,643.60 × 217,617,695.20
  4. Step 4: Simplify right side
    354,375,762.40x = 115,677,654,972,346,224
  5. Step 5: Solve for x
    x = 115,677,654,972,346,224/354,375,762.40
  6. Step 6: Final answer
    x = 326,426,542.80

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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.