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Finding the Fourth Proportional to 457,048.64, 685,153.08 and 157,458

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Solution

The fourth proportional to 457,048.64, 685,153.08 and 157,458 is: 236,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,048.64 : 685,153.08 = 157,458 : x
  2. Step 2: Convert to fraction form
    457,048.64/685,153.08 = 157,458/x
  3. Step 3: Cross multiply
    457,048.64x = 685,153.08 × 157,458
  4. Step 4: Simplify right side
    457,048.64x = 107,882,833,670.64
  5. Step 5: Solve for x
    x = 107,882,833,670.64/457,048.64
  6. Step 6: Final answer
    x = 236,042.35

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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.