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Finding the Fourth Proportional to 457,875.74, 685,989.84 and 430,865.48

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Solution

The fourth proportional to 457,875.74, 685,989.84 and 430,865.48 is: 645,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,875.74 : 685,989.84 = 430,865.48 : x
  2. Step 2: Convert to fraction form
    457,875.74/685,989.84 = 430,865.48/x
  3. Step 3: Cross multiply
    457,875.74x = 685,989.84 × 430,865.48
  4. Step 4: Simplify right side
    457,875.74x = 295,569,341,686.72
  5. Step 5: Solve for x
    x = 295,569,341,686.72/457,875.74
  6. Step 6: Final answer
    x = 645,523.04

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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.