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Finding the Fourth Proportional to 457,223.68, 686,889.60 and 438,328.32

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Solution

The fourth proportional to 457,223.68, 686,889.60 and 438,328.32 is: 658,503.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,223.68 : 686,889.60 = 438,328.32 : x
  2. Step 2: Convert to fraction form
    457,223.68/686,889.60 = 438,328.32/x
  3. Step 3: Cross multiply
    457,223.68x = 686,889.60 × 438,328.32
  4. Step 4: Simplify right side
    457,223.68x = 301,083,164,393.47
  5. Step 5: Solve for x
    x = 301,083,164,393.47/457,223.68
  6. Step 6: Final answer
    x = 658,503.00

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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.