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Finding the Fourth Proportional to 640,182.91, 882,426.31 and 433,386.08

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Solution

The fourth proportional to 640,182.91, 882,426.31 and 433,386.08 is: 597,378.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,182.91 : 882,426.31 = 433,386.08 : x
  2. Step 2: Convert to fraction form
    640,182.91/882,426.31 = 433,386.08/x
  3. Step 3: Cross multiply
    640,182.91x = 882,426.31 × 433,386.08
  4. Step 4: Simplify right side
    640,182.91x = 382,431,279,379.77
  5. Step 5: Solve for x
    x = 382,431,279,379.77/640,182.91
  6. Step 6: Final answer
    x = 597,378.15

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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.