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Finding the Fourth Proportional to 461,600, 637,009.92 and 249,632

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Solution

The fourth proportional to 461,600, 637,009.92 and 249,632 is: 344,493.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,600 : 637,009.92 = 249,632 : x
  2. Step 2: Convert to fraction form
    461,600/637,009.92 = 249,632/x
  3. Step 3: Cross multiply
    461,600x = 637,009.92 × 249,632
  4. Step 4: Simplify right side
    461,600x = 159,018,060,349.44
  5. Step 5: Solve for x
    x = 159,018,060,349.44/461,600
  6. Step 6: Final answer
    x = 344,493.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.