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Finding the Fourth Proportional to 651,564,728.40, 898,315,365.84 and 422,011,086.96

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Solution

The fourth proportional to 651,564,728.40, 898,315,365.84 and 422,011,086.96 is: 581,828,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,564,728.40 : 898,315,365.84 = 422,011,086.96 : x
  2. Step 2: Convert to fraction form
    651,564,728.40/898,315,365.84 = 422,011,086.96/x
  3. Step 3: Cross multiply
    651,564,728.40x = 898,315,365.84 × 422,011,086.96
  4. Step 4: Simplify right side
    651,564,728.40x = 379,099,043,971,008,448
  5. Step 5: Solve for x
    x = 379,099,043,971,008,448/651,564,728.40
  6. Step 6: Final answer
    x = 581,828,677.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.