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Finding the Fourth Proportional to 566,778, 782,141.76 and 312,131.28

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Solution

The fourth proportional to 566,778, 782,141.76 and 312,131.28 is: 430,734.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,778 : 782,141.76 = 312,131.28 : x
  2. Step 2: Convert to fraction form
    566,778/782,141.76 = 312,131.28/x
  3. Step 3: Cross multiply
    566,778x = 782,141.76 × 312,131.28
  4. Step 4: Simplify right side
    566,778x = 244,130,908,690.25
  5. Step 5: Solve for x
    x = 244,130,908,690.25/566,778
  6. Step 6: Final answer
    x = 430,734.62

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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.