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Finding the Fourth Proportional to 563,141.76, 777,191.40 and 321,460.70

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Solution

The fourth proportional to 563,141.76, 777,191.40 and 321,460.70 is: 443,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,141.76 : 777,191.40 = 321,460.70 : x
  2. Step 2: Convert to fraction form
    563,141.76/777,191.40 = 321,460.70/x
  3. Step 3: Cross multiply
    563,141.76x = 777,191.40 × 321,460.70
  4. Step 4: Simplify right side
    563,141.76x = 249,836,487,592.02
  5. Step 5: Solve for x
    x = 249,836,487,592.02/563,141.76
  6. Step 6: Final answer
    x = 443,647.60

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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.