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Finding the Fourth Proportional to 825,875.84, 1,139,784 and 503,603.84

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Solution

The fourth proportional to 825,875.84, 1,139,784 and 503,603.84 is: 695,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,875.84 : 1,139,784 = 503,603.84 : x
  2. Step 2: Convert to fraction form
    825,875.84/1,139,784 = 503,603.84/x
  3. Step 3: Cross multiply
    825,875.84x = 1,139,784 × 503,603.84
  4. Step 4: Simplify right side
    825,875.84x = 573,999,599,170.56
  5. Step 5: Solve for x
    x = 573,999,599,170.56/825,875.84
  6. Step 6: Final answer
    x = 695,019.24

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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.