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Finding the Fourth Proportional to 539,484.50, 744,488.61 and 301,020.50

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Solution

The fourth proportional to 539,484.50, 744,488.61 and 301,020.50 is: 415,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,484.50 : 744,488.61 = 301,020.50 : x
  2. Step 2: Convert to fraction form
    539,484.50/744,488.61 = 301,020.50/x
  3. Step 3: Cross multiply
    539,484.50x = 744,488.61 × 301,020.50
  4. Step 4: Simplify right side
    539,484.50x = 224,106,333,626.51
  5. Step 5: Solve for x
    x = 224,106,333,626.51/539,484.50
  6. Step 6: Final answer
    x = 415,408.29

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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.