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Finding the Fourth Proportional to 601,690.79, 829,855 and 511,345.82

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Solution

The fourth proportional to 601,690.79, 829,855 and 511,345.82 is: 705,250.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,690.79 : 829,855 = 511,345.82 : x
  2. Step 2: Convert to fraction form
    601,690.79/829,855 = 511,345.82/x
  3. Step 3: Cross multiply
    601,690.79x = 829,855 × 511,345.82
  4. Step 4: Simplify right side
    601,690.79x = 424,342,885,456.10
  5. Step 5: Solve for x
    x = 424,342,885,456.10/601,690.79
  6. Step 6: Final answer
    x = 705,250.76

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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.