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Finding the Fourth Proportional to 354,287,809.60, 531,431,714.40 and 327,078,030.40

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Solution

The fourth proportional to 354,287,809.60, 531,431,714.40 and 327,078,030.40 is: 490,617,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,287,809.60 : 531,431,714.40 = 327,078,030.40 : x
  2. Step 2: Convert to fraction form
    354,287,809.60/531,431,714.40 = 327,078,030.40/x
  3. Step 3: Cross multiply
    354,287,809.60x = 531,431,714.40 × 327,078,030.40
  4. Step 4: Simplify right side
    354,287,809.60x = 173,819,638,438,047,296
  5. Step 5: Solve for x
    x = 173,819,638,438,047,296/354,287,809.60
  6. Step 6: Final answer
    x = 490,617,045.60

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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.