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Finding the Fourth Proportional to 497,558.40, 686,630.78 and 282,698.75

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Solution

The fourth proportional to 497,558.40, 686,630.78 and 282,698.75 is: 390,124.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,558.40 : 686,630.78 = 282,698.75 : x
  2. Step 2: Convert to fraction form
    497,558.40/686,630.78 = 282,698.75/x
  3. Step 3: Cross multiply
    497,558.40x = 686,630.78 × 282,698.75
  4. Step 4: Simplify right side
    497,558.40x = 194,109,658,370.88
  5. Step 5: Solve for x
    x = 194,109,658,370.88/497,558.40
  6. Step 6: Final answer
    x = 390,124.37

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1.5x scale

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.