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Finding the Fourth Proportional to 614,178,019.60, 921,267,029.40 and 381,725,726.20

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Solution

The fourth proportional to 614,178,019.60, 921,267,029.40 and 381,725,726.20 is: 572,588,589.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,178,019.60 : 921,267,029.40 = 381,725,726.20 : x
  2. Step 2: Convert to fraction form
    614,178,019.60/921,267,029.40 = 381,725,726.20/x
  3. Step 3: Cross multiply
    614,178,019.60x = 921,267,029.40 × 381,725,726.20
  4. Step 4: Simplify right side
    614,178,019.60x = 351,671,325,821,831,744
  5. Step 5: Solve for x
    x = 351,671,325,821,831,744/614,178,019.60
  6. Step 6: Final answer
    x = 572,588,589.30

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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.