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Finding the Fourth Proportional to 497,478.72, 686,522.97 and 282,630.57

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Solution

The fourth proportional to 497,478.72, 686,522.97 and 282,630.57 is: 390,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,478.72 : 686,522.97 = 282,630.57 : x
  2. Step 2: Convert to fraction form
    497,478.72/686,522.97 = 282,630.57/x
  3. Step 3: Cross multiply
    497,478.72x = 686,522.97 × 282,630.57
  4. Step 4: Simplify right side
    497,478.72x = 194,032,378,329.19
  5. Step 5: Solve for x
    x = 194,032,378,329.19/497,478.72
  6. Step 6: Final answer
    x = 390,031.51

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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.