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Finding the Fourth Proportional to 282,570.32, 389,784.84 and 176,402

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Solution

The fourth proportional to 282,570.32, 389,784.84 and 176,402 is: 243,333.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,570.32 : 389,784.84 = 176,402 : x
  2. Step 2: Convert to fraction form
    282,570.32/389,784.84 = 176,402/x
  3. Step 3: Cross multiply
    282,570.32x = 389,784.84 × 176,402
  4. Step 4: Simplify right side
    282,570.32x = 68,758,825,345.68
  5. Step 5: Solve for x
    x = 68,758,825,345.68/282,570.32
  6. Step 6: Final answer
    x = 243,333.50

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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.