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Finding the Fourth Proportional to 490,365, 735,547.50 and 157,941

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Solution

The fourth proportional to 490,365, 735,547.50 and 157,941 is: 236,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,365 : 735,547.50 = 157,941 : x
  2. Step 2: Convert to fraction form
    490,365/735,547.50 = 157,941/x
  3. Step 3: Cross multiply
    490,365x = 735,547.50 × 157,941
  4. Step 4: Simplify right side
    490,365x = 116,173,107,697.50
  5. Step 5: Solve for x
    x = 116,173,107,697.50/490,365
  6. Step 6: Final answer
    x = 236,911.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.