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Finding the Fourth Proportional to 487,913.80, 733,620.30 and 410,931.40

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Solution

The fourth proportional to 487,913.80, 733,620.30 and 410,931.40 is: 617,870.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,913.80 : 733,620.30 = 410,931.40 : x
  2. Step 2: Convert to fraction form
    487,913.80/733,620.30 = 410,931.40/x
  3. Step 3: Cross multiply
    487,913.80x = 733,620.30 × 410,931.40
  4. Step 4: Simplify right side
    487,913.80x = 301,467,616,947.42
  5. Step 5: Solve for x
    x = 301,467,616,947.42/487,913.80
  6. Step 6: Final answer
    x = 617,870.65

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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.