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Finding the Fourth Proportional to 523,498.32, 785,238.84 and 129,514.32

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Solution

The fourth proportional to 523,498.32, 785,238.84 and 129,514.32 is: 194,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,498.32 : 785,238.84 = 129,514.32 : x
  2. Step 2: Convert to fraction form
    523,498.32/785,238.84 = 129,514.32/x
  3. Step 3: Cross multiply
    523,498.32x = 785,238.84 × 129,514.32
  4. Step 4: Simplify right side
    523,498.32x = 101,699,674,400.19
  5. Step 5: Solve for x
    x = 101,699,674,400.19/523,498.32
  6. Step 6: Final answer
    x = 194,269.34

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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.