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Finding the Fourth Proportional to 709,822.32, 1,063,656 and 520,408.80

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Solution

The fourth proportional to 709,822.32, 1,063,656 and 520,408.80 is: 779,823.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,822.32 : 1,063,656 = 520,408.80 : x
  2. Step 2: Convert to fraction form
    709,822.32/1,063,656 = 520,408.80/x
  3. Step 3: Cross multiply
    709,822.32x = 1,063,656 × 520,408.80
  4. Step 4: Simplify right side
    709,822.32x = 553,535,942,572.80
  5. Step 5: Solve for x
    x = 553,535,942,572.80/709,822.32
  6. Step 6: Final answer
    x = 779,823.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.