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Finding the Fourth Proportional to 461,777.34, 637,246.49 and 257,831.40

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Solution

The fourth proportional to 461,777.34, 637,246.49 and 257,831.40 is: 355,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,777.34 : 637,246.49 = 257,831.40 : x
  2. Step 2: Convert to fraction form
    461,777.34/637,246.49 = 257,831.40/x
  3. Step 3: Cross multiply
    461,777.34x = 637,246.49 × 257,831.40
  4. Step 4: Simplify right side
    461,777.34x = 164,302,153,372.63
  5. Step 5: Solve for x
    x = 164,302,153,372.63/461,777.34
  6. Step 6: Final answer
    x = 355,803.85

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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.