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Finding the Fourth Proportional to 523,065.51, 721,554.35 and 431,889.48

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Solution

The fourth proportional to 523,065.51, 721,554.35 and 431,889.48 is: 595,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,065.51 : 721,554.35 = 431,889.48 : x
  2. Step 2: Convert to fraction form
    523,065.51/721,554.35 = 431,889.48/x
  3. Step 3: Cross multiply
    523,065.51x = 721,554.35 × 431,889.48
  4. Step 4: Simplify right side
    523,065.51x = 311,631,730,853.79
  5. Step 5: Solve for x
    x = 311,631,730,853.79/523,065.51
  6. Step 6: Final answer
    x = 595,779.54

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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.