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Finding the Fourth Proportional to 492,656.75, 679,886.48 and 311,302.50

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Solution

The fourth proportional to 492,656.75, 679,886.48 and 311,302.50 is: 429,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,656.75 : 679,886.48 = 311,302.50 : x
  2. Step 2: Convert to fraction form
    492,656.75/679,886.48 = 311,302.50/x
  3. Step 3: Cross multiply
    492,656.75x = 679,886.48 × 311,302.50
  4. Step 4: Simplify right side
    492,656.75x = 211,650,361,718.46
  5. Step 5: Solve for x
    x = 211,650,361,718.46/492,656.75
  6. Step 6: Final answer
    x = 429,610.20

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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.