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Finding the Fourth Proportional to 497,489.85, 686,554.38 and 282,666.51

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Solution

The fourth proportional to 497,489.85, 686,554.38 and 282,666.51 is: 390,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,489.85 : 686,554.38 = 282,666.51 : x
  2. Step 2: Convert to fraction form
    497,489.85/686,554.38 = 282,666.51/x
  3. Step 3: Cross multiply
    497,489.85x = 686,554.38 × 282,666.51
  4. Step 4: Simplify right side
    497,489.85x = 194,065,930,519.81
  5. Step 5: Solve for x
    x = 194,065,930,519.81/497,489.85
  6. Step 6: Final answer
    x = 390,090.23

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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.