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Finding the Fourth Proportional to 457,814.40, 686,721.60 and 432,009.60

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Solution

The fourth proportional to 457,814.40, 686,721.60 and 432,009.60 is: 648,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,814.40 : 686,721.60 = 432,009.60 : x
  2. Step 2: Convert to fraction form
    457,814.40/686,721.60 = 432,009.60/x
  3. Step 3: Cross multiply
    457,814.40x = 686,721.60 × 432,009.60
  4. Step 4: Simplify right side
    457,814.40x = 296,670,323,727.36
  5. Step 5: Solve for x
    x = 296,670,323,727.36/457,814.40
  6. Step 6: Final answer
    x = 648,014.40

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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.