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Finding the Fourth Proportional to 523,954.13, 723,056.70 and 285,490.13

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Solution

The fourth proportional to 523,954.13, 723,056.70 and 285,490.13 is: 393,976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,954.13 : 723,056.70 = 285,490.13 : x
  2. Step 2: Convert to fraction form
    523,954.13/723,056.70 = 285,490.13/x
  3. Step 3: Cross multiply
    523,954.13x = 723,056.70 × 285,490.13
  4. Step 4: Simplify right side
    523,954.13x = 206,425,547,665.09
  5. Step 5: Solve for x
    x = 206,425,547,665.09/523,954.13
  6. Step 6: Final answer
    x = 393,976.38

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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.