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Finding the Fourth Proportional to 524,296.69, 723,607.11 and 320,465.05

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Solution

The fourth proportional to 524,296.69, 723,607.11 and 320,465.05 is: 442,289.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,296.69 : 723,607.11 = 320,465.05 : x
  2. Step 2: Convert to fraction form
    524,296.69/723,607.11 = 320,465.05/x
  3. Step 3: Cross multiply
    524,296.69x = 723,607.11 × 320,465.05
  4. Step 4: Simplify right side
    524,296.69x = 231,890,788,686.51
  5. Step 5: Solve for x
    x = 231,890,788,686.51/524,296.69
  6. Step 6: Final answer
    x = 442,289.25

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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.