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Finding the Fourth Proportional to 304,869.40, 457,304.10 and 287,762.20

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Solution

The fourth proportional to 304,869.40, 457,304.10 and 287,762.20 is: 431,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,869.40 : 457,304.10 = 287,762.20 : x
  2. Step 2: Convert to fraction form
    304,869.40/457,304.10 = 287,762.20/x
  3. Step 3: Cross multiply
    304,869.40x = 457,304.10 × 287,762.20
  4. Step 4: Simplify right side
    304,869.40x = 131,594,833,885.02
  5. Step 5: Solve for x
    x = 131,594,833,885.02/304,869.40
  6. Step 6: Final answer
    x = 431,643.30

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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.