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Finding the Fourth Proportional to 305,862.30, 457,918.65 and 305,862.30

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Solution

The fourth proportional to 305,862.30, 457,918.65 and 305,862.30 is: 457,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,862.30 : 457,918.65 = 305,862.30 : x
  2. Step 2: Convert to fraction form
    305,862.30/457,918.65 = 305,862.30/x
  3. Step 3: Cross multiply
    305,862.30x = 457,918.65 × 305,862.30
  4. Step 4: Simplify right side
    305,862.30x = 140,060,051,501.90
  5. Step 5: Solve for x
    x = 140,060,051,501.90/305,862.30
  6. Step 6: Final answer
    x = 457,918.65

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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.