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Finding the Fourth Proportional to 497,465.36, 686,504.48 and 282,617.21

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Solution

The fourth proportional to 497,465.36, 686,504.48 and 282,617.21 is: 390,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,465.36 : 686,504.48 = 282,617.21 : x
  2. Step 2: Convert to fraction form
    497,465.36/686,504.48 = 282,617.21/x
  3. Step 3: Cross multiply
    497,465.36x = 686,504.48 × 282,617.21
  4. Step 4: Simplify right side
    497,465.36x = 194,017,980,790.10
  5. Step 5: Solve for x
    x = 194,017,980,790.10/497,465.36
  6. Step 6: Final answer
    x = 390,013.05

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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.