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Finding the Fourth Proportional to 563,323.76, 777,488.84 and 359,438

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Solution

The fourth proportional to 563,323.76, 777,488.84 and 359,438 is: 496,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,323.76 : 777,488.84 = 359,438 : x
  2. Step 2: Convert to fraction form
    563,323.76/777,488.84 = 359,438/x
  3. Step 3: Cross multiply
    563,323.76x = 777,488.84 × 359,438
  4. Step 4: Simplify right side
    563,323.76x = 279,459,033,671.92
  5. Step 5: Solve for x
    x = 279,459,033,671.92/563,323.76
  6. Step 6: Final answer
    x = 496,089.56

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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.