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Finding the Fourth Proportional to 565,488.69, 780,114.30 and 501,023.67

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Solution

The fourth proportional to 565,488.69, 780,114.30 and 501,023.67 is: 691,182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,488.69 : 780,114.30 = 501,023.67 : x
  2. Step 2: Convert to fraction form
    565,488.69/780,114.30 = 501,023.67/x
  3. Step 3: Cross multiply
    565,488.69x = 780,114.30 × 501,023.67
  4. Step 4: Simplify right side
    565,488.69x = 390,855,729,605.48
  5. Step 5: Solve for x
    x = 390,855,729,605.48/565,488.69
  6. Step 6: Final answer
    x = 691,182.22

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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.