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Finding the Fourth Proportional to 709,509.60, 979,132.32 and 419,130.72

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Solution

The fourth proportional to 709,509.60, 979,132.32 and 419,130.72 is: 578,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,509.60 : 979,132.32 = 419,130.72 : x
  2. Step 2: Convert to fraction form
    709,509.60/979,132.32 = 419,130.72/x
  3. Step 3: Cross multiply
    709,509.60x = 979,132.32 × 419,130.72
  4. Step 4: Simplify right side
    709,509.60x = 410,384,434,256.87
  5. Step 5: Solve for x
    x = 410,384,434,256.87/709,509.60
  6. Step 6: Final answer
    x = 578,405.75

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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.