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Finding the Fourth Proportional to 536,106.40, 802,993.20 and 431,130.40

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Solution

The fourth proportional to 536,106.40, 802,993.20 and 431,130.40 is: 645,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,106.40 : 802,993.20 = 431,130.40 : x
  2. Step 2: Convert to fraction form
    536,106.40/802,993.20 = 431,130.40/x
  3. Step 3: Cross multiply
    536,106.40x = 802,993.20 × 431,130.40
  4. Step 4: Simplify right side
    536,106.40x = 346,194,779,513.28
  5. Step 5: Solve for x
    x = 346,194,779,513.28/536,106.40
  6. Step 6: Final answer
    x = 645,757.59

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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.