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Finding the Fourth Proportional to 497,432.88, 686,567.88 and 316,109.25

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Solution

The fourth proportional to 497,432.88, 686,567.88 and 316,109.25 is: 436,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,432.88 : 686,567.88 = 316,109.25 : x
  2. Step 2: Convert to fraction form
    497,432.88/686,567.88 = 316,109.25/x
  3. Step 3: Cross multiply
    497,432.88x = 686,567.88 × 316,109.25
  4. Step 4: Simplify right side
    497,432.88x = 217,030,457,620.89
  5. Step 5: Solve for x
    x = 217,030,457,620.89/497,432.88
  6. Step 6: Final answer
    x = 436,300.99

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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.