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Finding the Fourth Proportional to 523,950.38, 723,051.53 and 285,486.38

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Solution

The fourth proportional to 523,950.38, 723,051.53 and 285,486.38 is: 393,971.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,950.38 : 723,051.53 = 285,486.38 : x
  2. Step 2: Convert to fraction form
    523,950.38/723,051.53 = 285,486.38/x
  3. Step 3: Cross multiply
    523,950.38x = 723,051.53 × 285,486.38
  4. Step 4: Simplify right side
    523,950.38x = 206,421,358,810.47
  5. Step 5: Solve for x
    x = 206,421,358,810.47/523,950.38
  6. Step 6: Final answer
    x = 393,971.20

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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.