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Finding the Fourth Proportional to 461,903.64, 637,390.65 and 257,938.62

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Solution

The fourth proportional to 461,903.64, 637,390.65 and 257,938.62 is: 355,934.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,903.64 : 637,390.65 = 257,938.62 : x
  2. Step 2: Convert to fraction form
    461,903.64/637,390.65 = 257,938.62/x
  3. Step 3: Cross multiply
    461,903.64x = 637,390.65 × 257,938.62
  4. Step 4: Simplify right side
    461,903.64x = 164,407,664,661.90
  5. Step 5: Solve for x
    x = 164,407,664,661.90/461,903.64
  6. Step 6: Final answer
    x = 355,934.98

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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.