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Finding the Fourth Proportional to 647,312.40, 969,931.80 and 410,230.80

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Solution

The fourth proportional to 647,312.40, 969,931.80 and 410,230.80 is: 614,689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,312.40 : 969,931.80 = 410,230.80 : x
  2. Step 2: Convert to fraction form
    647,312.40/969,931.80 = 410,230.80/x
  3. Step 3: Cross multiply
    647,312.40x = 969,931.80 × 410,230.80
  4. Step 4: Simplify right side
    647,312.40x = 397,895,898,259.44
  5. Step 5: Solve for x
    x = 397,895,898,259.44/647,312.40
  6. Step 6: Final answer
    x = 614,689.13

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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.