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Finding the Fourth Proportional to 299,088,411.60, 419,328,438 and 299,088,411.60

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Solution

The fourth proportional to 299,088,411.60, 419,328,438 and 299,088,411.60 is: 419,328,438

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,088,411.60 : 419,328,438 = 299,088,411.60 : x
  2. Step 2: Convert to fraction form
    299,088,411.60/419,328,438 = 299,088,411.60/x
  3. Step 3: Cross multiply
    299,088,411.60x = 419,328,438 × 299,088,411.60
  4. Step 4: Simplify right side
    299,088,411.60x = 125,416,276,460,129,088
  5. Step 5: Solve for x
    x = 125,416,276,460,129,088/299,088,411.60
  6. Step 6: Final answer
    x = 419,328,438

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.