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Finding the Fourth Proportional to 647,527.20, 971,290.80 and 458,570.40

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Solution

The fourth proportional to 647,527.20, 971,290.80 and 458,570.40 is: 687,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,527.20 : 971,290.80 = 458,570.40 : x
  2. Step 2: Convert to fraction form
    647,527.20/971,290.80 = 458,570.40/x
  3. Step 3: Cross multiply
    647,527.20x = 971,290.80 × 458,570.40
  4. Step 4: Simplify right side
    647,527.20x = 445,405,210,672.32
  5. Step 5: Solve for x
    x = 445,405,210,672.32/647,527.20
  6. Step 6: Final answer
    x = 687,855.60

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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.