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Finding the Fourth Proportional to 304,875.40, 457,313.10 and 287,768.20

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Solution

The fourth proportional to 304,875.40, 457,313.10 and 287,768.20 is: 431,652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,875.40 : 457,313.10 = 287,768.20 : x
  2. Step 2: Convert to fraction form
    304,875.40/457,313.10 = 287,768.20/x
  3. Step 3: Cross multiply
    304,875.40x = 457,313.10 × 287,768.20
  4. Step 4: Simplify right side
    304,875.40x = 131,600,167,623.42
  5. Step 5: Solve for x
    x = 131,600,167,623.42/304,875.40
  6. Step 6: Final answer
    x = 431,652.30

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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.