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Finding the Fourth Proportional to 686,507.84, 1,029,720.72 and 407,798.72

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Solution

The fourth proportional to 686,507.84, 1,029,720.72 and 407,798.72 is: 611,673.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,507.84 : 1,029,720.72 = 407,798.72 : x
  2. Step 2: Convert to fraction form
    686,507.84/1,029,720.72 = 407,798.72/x
  3. Step 3: Cross multiply
    686,507.84x = 1,029,720.72 × 407,798.72
  4. Step 4: Simplify right side
    686,507.84x = 419,918,791,573.48
  5. Step 5: Solve for x
    x = 419,918,791,573.48/686,507.84
  6. Step 6: Final answer
    x = 611,673.70

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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.