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Finding the Fourth Proportional to 507,780.81, 700,711.49 and 292,908.06

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Solution

The fourth proportional to 507,780.81, 700,711.49 and 292,908.06 is: 404,198.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,780.81 : 700,711.49 = 292,908.06 : x
  2. Step 2: Convert to fraction form
    507,780.81/700,711.49 = 292,908.06/x
  3. Step 3: Cross multiply
    507,780.81x = 700,711.49 × 292,908.06
  4. Step 4: Simplify right side
    507,780.81x = 205,244,041,691.07
  5. Step 5: Solve for x
    x = 205,244,041,691.07/507,780.81
  6. Step 6: Final answer
    x = 404,198.11

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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.