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Finding the Fourth Proportional to 306,512,938.40, 459,769,407.60 and 306,512,938.40

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Solution

The fourth proportional to 306,512,938.40, 459,769,407.60 and 306,512,938.40 is: 459,769,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,512,938.40 : 459,769,407.60 = 306,512,938.40 : x
  2. Step 2: Convert to fraction form
    306,512,938.40/459,769,407.60 = 306,512,938.40/x
  3. Step 3: Cross multiply
    306,512,938.40x = 459,769,407.60 × 306,512,938.40
  4. Step 4: Simplify right side
    306,512,938.40x = 140,925,272,109,903,296
  5. Step 5: Solve for x
    x = 140,925,272,109,903,296/306,512,938.40
  6. Step 6: Final answer
    x = 459,769,407.60

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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.