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Finding the Fourth Proportional to 381,957.12, 570,132 and 353,808

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Solution

The fourth proportional to 381,957.12, 570,132 and 353,808 is: 528,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,957.12 : 570,132 = 353,808 : x
  2. Step 2: Convert to fraction form
    381,957.12/570,132 = 353,808/x
  3. Step 3: Cross multiply
    381,957.12x = 570,132 × 353,808
  4. Step 4: Simplify right side
    381,957.12x = 201,717,262,656
  5. Step 5: Solve for x
    x = 201,717,262,656/381,957.12
  6. Step 6: Final answer
    x = 528,114.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.