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Finding the Fourth Proportional to 539,973, 745,162.74 and 301,509

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Solution

The fourth proportional to 539,973, 745,162.74 and 301,509 is: 416,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,973 : 745,162.74 = 301,509 : x
  2. Step 2: Convert to fraction form
    539,973/745,162.74 = 301,509/x
  3. Step 3: Cross multiply
    539,973x = 745,162.74 × 301,509
  4. Step 4: Simplify right side
    539,973x = 224,673,272,574.66
  5. Step 5: Solve for x
    x = 224,673,272,574.66/539,973
  6. Step 6: Final answer
    x = 416,082.42

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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.