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Finding the Fourth Proportional to 398,216.18, 597,411.70 and 292,715.30

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Solution

The fourth proportional to 398,216.18, 597,411.70 and 292,715.30 is: 439,137.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,216.18 : 597,411.70 = 292,715.30 : x
  2. Step 2: Convert to fraction form
    398,216.18/597,411.70 = 292,715.30/x
  3. Step 3: Cross multiply
    398,216.18x = 597,411.70 × 292,715.30
  4. Step 4: Simplify right side
    398,216.18x = 174,871,545,750.75
  5. Step 5: Solve for x
    x = 174,871,545,750.75/398,216.18
  6. Step 6: Final answer
    x = 439,137.22

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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.