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Finding the Fourth Proportional to 501,345.32, 691,857.68 and 286,484.87

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Solution

The fourth proportional to 501,345.32, 691,857.68 and 286,484.87 is: 395,349.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,345.32 : 691,857.68 = 286,484.87 : x
  2. Step 2: Convert to fraction form
    501,345.32/691,857.68 = 286,484.87/x
  3. Step 3: Cross multiply
    501,345.32x = 691,857.68 × 286,484.87
  4. Step 4: Simplify right side
    501,345.32x = 198,206,753,918.82
  5. Step 5: Solve for x
    x = 198,206,753,918.82/501,345.32
  6. Step 6: Final answer
    x = 395,349.77

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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.