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Finding the Fourth Proportional to 442,525.80, 610,528.14 and 261,146.98

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Solution

The fourth proportional to 442,525.80, 610,528.14 and 261,146.98 is: 360,289.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,525.80 : 610,528.14 = 261,146.98 : x
  2. Step 2: Convert to fraction form
    442,525.80/610,528.14 = 261,146.98/x
  3. Step 3: Cross multiply
    442,525.80x = 610,528.14 × 261,146.98
  4. Step 4: Simplify right side
    442,525.80x = 159,437,579,966.02
  5. Step 5: Solve for x
    x = 159,437,579,966.02/442,525.80
  6. Step 6: Final answer
    x = 360,289.91

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1.5x scale

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.