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Finding the Fourth Proportional to 834,430.64, 1,151,704.86 and 490,307

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Solution

The fourth proportional to 834,430.64, 1,151,704.86 and 490,307 is: 676,735.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,430.64 : 1,151,704.86 = 490,307 : x
  2. Step 2: Convert to fraction form
    834,430.64/1,151,704.86 = 490,307/x
  3. Step 3: Cross multiply
    834,430.64x = 1,151,704.86 × 490,307
  4. Step 4: Simplify right side
    834,430.64x = 564,688,954,792.02
  5. Step 5: Solve for x
    x = 564,688,954,792.02/834,430.64
  6. Step 6: Final answer
    x = 676,735.64

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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.