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Finding the Fourth Proportional to 687,002.16, 948,078.16 and 381,068.56

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Solution

The fourth proportional to 687,002.16, 948,078.16 and 381,068.56 is: 525,883.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,002.16 : 948,078.16 = 381,068.56 : x
  2. Step 2: Convert to fraction form
    687,002.16/948,078.16 = 381,068.56/x
  3. Step 3: Cross multiply
    687,002.16x = 948,078.16 × 381,068.56
  4. Step 4: Simplify right side
    687,002.16x = 361,282,779,198.65
  5. Step 5: Solve for x
    x = 361,282,779,198.65/687,002.16
  6. Step 6: Final answer
    x = 525,883.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.