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Finding the Fourth Proportional to 305,315.70, 457,973.55 and 147,851.70

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Solution

The fourth proportional to 305,315.70, 457,973.55 and 147,851.70 is: 221,777.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,315.70 : 457,973.55 = 147,851.70 : x
  2. Step 2: Convert to fraction form
    305,315.70/457,973.55 = 147,851.70/x
  3. Step 3: Cross multiply
    305,315.70x = 457,973.55 × 147,851.70
  4. Step 4: Simplify right side
    305,315.70x = 67,712,167,922.54
  5. Step 5: Solve for x
    x = 67,712,167,922.54/305,315.70
  6. Step 6: Final answer
    x = 221,777.55

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1.5x scale

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.