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Finding the Fourth Proportional to 647,477.40, 971,216.10 and 490,013.40

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Solution

The fourth proportional to 647,477.40, 971,216.10 and 490,013.40 is: 735,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,477.40 : 971,216.10 = 490,013.40 : x
  2. Step 2: Convert to fraction form
    647,477.40/971,216.10 = 490,013.40/x
  3. Step 3: Cross multiply
    647,477.40x = 971,216.10 × 490,013.40
  4. Step 4: Simplify right side
    647,477.40x = 475,908,903,295.74
  5. Step 5: Solve for x
    x = 475,908,903,295.74/647,477.40
  6. Step 6: Final answer
    x = 735,020.10

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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.