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Finding the Fourth Proportional to 462,005.10, 693,007.65 and 436,344.30

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Solution

The fourth proportional to 462,005.10, 693,007.65 and 436,344.30 is: 654,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,005.10 : 693,007.65 = 436,344.30 : x
  2. Step 2: Convert to fraction form
    462,005.10/693,007.65 = 436,344.30/x
  3. Step 3: Cross multiply
    462,005.10x = 693,007.65 × 436,344.30
  4. Step 4: Simplify right side
    462,005.10x = 302,389,937,933.90
  5. Step 5: Solve for x
    x = 302,389,937,933.90/462,005.10
  6. Step 6: Final answer
    x = 654,516.45

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Similar ratio
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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.