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Finding the Fourth Proportional to 521,643.24, 719,931.24 and 306,772.92

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Solution

The fourth proportional to 521,643.24, 719,931.24 and 306,772.92 is: 423,384.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,643.24 : 719,931.24 = 306,772.92 : x
  2. Step 2: Convert to fraction form
    521,643.24/719,931.24 = 306,772.92/x
  3. Step 3: Cross multiply
    521,643.24x = 719,931.24 × 306,772.92
  4. Step 4: Simplify right side
    521,643.24x = 220,855,408,694.02
  5. Step 5: Solve for x
    x = 220,855,408,694.02/521,643.24
  6. Step 6: Final answer
    x = 423,384.01

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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.