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Finding the Fourth Proportional to 497,750.44, 686,878.50 and 282,886.76

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Solution

The fourth proportional to 497,750.44, 686,878.50 and 282,886.76 is: 390,374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,750.44 : 686,878.50 = 282,886.76 : x
  2. Step 2: Convert to fraction form
    497,750.44/686,878.50 = 282,886.76/x
  3. Step 3: Cross multiply
    497,750.44x = 686,878.50 × 282,886.76
  4. Step 4: Simplify right side
    497,750.44x = 194,308,833,378.66
  5. Step 5: Solve for x
    x = 194,308,833,378.66/497,750.44
  6. Step 6: Final answer
    x = 390,374.01

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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.