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Finding the Fourth Proportional to 457,688.40, 685,150.20 and 402,392.40

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Solution

The fourth proportional to 457,688.40, 685,150.20 and 402,392.40 is: 602,373.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,688.40 : 685,150.20 = 402,392.40 : x
  2. Step 2: Convert to fraction form
    457,688.40/685,150.20 = 402,392.40/x
  3. Step 3: Cross multiply
    457,688.40x = 685,150.20 × 402,392.40
  4. Step 4: Simplify right side
    457,688.40x = 275,699,233,338.48
  5. Step 5: Solve for x
    x = 275,699,233,338.48/457,688.40
  6. Step 6: Final answer
    x = 602,373.22

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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.