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Finding the Fourth Proportional to 458,686.40, 688,029.60 and 387,827.60

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Solution

The fourth proportional to 458,686.40, 688,029.60 and 387,827.60 is: 581,741.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,686.40 : 688,029.60 = 387,827.60 : x
  2. Step 2: Convert to fraction form
    458,686.40/688,029.60 = 387,827.60/x
  3. Step 3: Cross multiply
    458,686.40x = 688,029.60 × 387,827.60
  4. Step 4: Simplify right side
    458,686.40x = 266,836,868,496.96
  5. Step 5: Solve for x
    x = 266,836,868,496.96/458,686.40
  6. Step 6: Final answer
    x = 581,741.40

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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.