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Finding the Fourth Proportional to 538,210.92, 743,486.50 and 509,867.40

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Solution

The fourth proportional to 538,210.92, 743,486.50 and 509,867.40 is: 704,332.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,210.92 : 743,486.50 = 509,867.40 : x
  2. Step 2: Convert to fraction form
    538,210.92/743,486.50 = 509,867.40/x
  3. Step 3: Cross multiply
    538,210.92x = 743,486.50 × 509,867.40
  4. Step 4: Simplify right side
    538,210.92x = 379,079,528,690.10
  5. Step 5: Solve for x
    x = 379,079,528,690.10/538,210.92
  6. Step 6: Final answer
    x = 704,332.66

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Double scale
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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.