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Finding the Fourth Proportional to 357,283.30, 535,517.27 and 143,914.58

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Solution

The fourth proportional to 357,283.30, 535,517.27 and 143,914.58 is: 215,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,283.30 : 535,517.27 = 143,914.58 : x
  2. Step 2: Convert to fraction form
    357,283.30/535,517.27 = 143,914.58/x
  3. Step 3: Cross multiply
    357,283.30x = 535,517.27 × 143,914.58
  4. Step 4: Simplify right side
    357,283.30x = 77,068,742,994.80
  5. Step 5: Solve for x
    x = 77,068,742,994.80/357,283.30
  6. Step 6: Final answer
    x = 215,707.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.