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Finding the Fourth Proportional to 655,608,780.80, 983,413,171.20 and 329,091,430.40

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Solution

The fourth proportional to 655,608,780.80, 983,413,171.20 and 329,091,430.40 is: 493,637,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,608,780.80 : 983,413,171.20 = 329,091,430.40 : x
  2. Step 2: Convert to fraction form
    655,608,780.80/983,413,171.20 = 329,091,430.40/x
  3. Step 3: Cross multiply
    655,608,780.80x = 983,413,171.20 × 329,091,430.40
  4. Step 4: Simplify right side
    655,608,780.80x = 323,632,847,184,408,064
  5. Step 5: Solve for x
    x = 323,632,847,184,408,064/655,608,780.80
  6. Step 6: Final answer
    x = 493,637,145.60

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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.