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Finding the Fourth Proportional to 524,756.28, 787,516.74 and 209,303.40

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Solution

The fourth proportional to 524,756.28, 787,516.74 and 209,303.40 is: 314,107.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,756.28 : 787,516.74 = 209,303.40 : x
  2. Step 2: Convert to fraction form
    524,756.28/787,516.74 = 209,303.40/x
  3. Step 3: Cross multiply
    524,756.28x = 787,516.74 × 209,303.40
  4. Step 4: Simplify right side
    524,756.28x = 164,829,931,238.92
  5. Step 5: Solve for x
    x = 164,829,931,238.92/524,756.28
  6. Step 6: Final answer
    x = 314,107.59

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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.