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Finding the Fourth Proportional to 497,709.90, 686,810.06 and 282,820.14

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Solution

The fourth proportional to 497,709.90, 686,810.06 and 282,820.14 is: 390,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,709.90 : 686,810.06 = 282,820.14 : x
  2. Step 2: Convert to fraction form
    497,709.90/686,810.06 = 282,820.14/x
  3. Step 3: Cross multiply
    497,709.90x = 686,810.06 × 282,820.14
  4. Step 4: Simplify right side
    497,709.90x = 194,243,717,322.61
  5. Step 5: Solve for x
    x = 194,243,717,322.61/497,709.90
  6. Step 6: Final answer
    x = 390,274.97

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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.