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Finding the Fourth Proportional to 605,323,615.20, 907,985,422.80 and 398,699,354.40

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Solution

The fourth proportional to 605,323,615.20, 907,985,422.80 and 398,699,354.40 is: 598,049,031.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,323,615.20 : 907,985,422.80 = 398,699,354.40 : x
  2. Step 2: Convert to fraction form
    605,323,615.20/907,985,422.80 = 398,699,354.40/x
  3. Step 3: Cross multiply
    605,323,615.20x = 907,985,422.80 × 398,699,354.40
  4. Step 4: Simplify right side
    605,323,615.20x = 362,013,201,874,971,008
  5. Step 5: Solve for x
    x = 362,013,201,874,971,008/605,323,615.20
  6. Step 6: Final answer
    x = 598,049,031.60

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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.