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Finding the Fourth Proportional to 380,526.19, 570,293.54 and 212,039.71

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Solution

The fourth proportional to 380,526.19, 570,293.54 and 212,039.71 is: 317,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,526.19 : 570,293.54 = 212,039.71 : x
  2. Step 2: Convert to fraction form
    380,526.19/570,293.54 = 212,039.71/x
  3. Step 3: Cross multiply
    380,526.19x = 570,293.54 × 212,039.71
  4. Step 4: Simplify right side
    380,526.19x = 120,924,875,145.69
  5. Step 5: Solve for x
    x = 120,924,875,145.69/380,526.19
  6. Step 6: Final answer
    x = 317,783.32

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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.