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Finding the Fourth Proportional to 514,745.56, 710,389.12 and 331,148.08

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Solution

The fourth proportional to 514,745.56, 710,389.12 and 331,148.08 is: 457,010.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,745.56 : 710,389.12 = 331,148.08 : x
  2. Step 2: Convert to fraction form
    514,745.56/710,389.12 = 331,148.08/x
  3. Step 3: Cross multiply
    514,745.56x = 710,389.12 × 331,148.08
  4. Step 4: Simplify right side
    514,745.56x = 235,243,993,140.89
  5. Step 5: Solve for x
    x = 235,243,993,140.89/514,745.56
  6. Step 6: Final answer
    x = 457,010.24

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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.