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Finding the Fourth Proportional to 457,749.90, 685,242.45 and 402,453.90

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Solution

The fourth proportional to 457,749.90, 685,242.45 and 402,453.90 is: 602,465.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,749.90 : 685,242.45 = 402,453.90 : x
  2. Step 2: Convert to fraction form
    457,749.90/685,242.45 = 402,453.90/x
  3. Step 3: Cross multiply
    457,749.90x = 685,242.45 × 402,453.90
  4. Step 4: Simplify right side
    457,749.90x = 275,778,496,448.06
  5. Step 5: Solve for x
    x = 275,778,496,448.06/457,749.90
  6. Step 6: Final answer
    x = 602,465.44

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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.