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Finding the Fourth Proportional to 442,871,638.40, 664,307,457.60 and 258,449,801.60

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Solution

The fourth proportional to 442,871,638.40, 664,307,457.60 and 258,449,801.60 is: 387,674,702.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,871,638.40 : 664,307,457.60 = 258,449,801.60 : x
  2. Step 2: Convert to fraction form
    442,871,638.40/664,307,457.60 = 258,449,801.60/x
  3. Step 3: Cross multiply
    442,871,638.40x = 664,307,457.60 × 258,449,801.60
  4. Step 4: Simplify right side
    442,871,638.40x = 171,690,130,618,120,416
  5. Step 5: Solve for x
    x = 171,690,130,618,120,416/442,871,638.40
  6. Step 6: Final answer
    x = 387,674,702.40

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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.