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Finding the Fourth Proportional to 489,924,989.40, 734,871,737.70 and 162,415,615.80

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Solution

The fourth proportional to 489,924,989.40, 734,871,737.70 and 162,415,615.80 is: 243,618,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,924,989.40 : 734,871,737.70 = 162,415,615.80 : x
  2. Step 2: Convert to fraction form
    489,924,989.40/734,871,737.70 = 162,415,615.80/x
  3. Step 3: Cross multiply
    489,924,989.40x = 734,871,737.70 × 162,415,615.80
  4. Step 4: Simplify right side
    489,924,989.40x = 119,354,645,812,561,600
  5. Step 5: Solve for x
    x = 119,354,645,812,561,600/489,924,989.40
  6. Step 6: Final answer
    x = 243,618,203.59

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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.