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Finding the Fourth Proportional to 680,630.70, 1,020,946.05 and 456,681.90

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Solution

The fourth proportional to 680,630.70, 1,020,946.05 and 456,681.90 is: 685,022.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,630.70 : 1,020,946.05 = 456,681.90 : x
  2. Step 2: Convert to fraction form
    680,630.70/1,020,946.05 = 456,681.90/x
  3. Step 3: Cross multiply
    680,630.70x = 1,020,946.05 × 456,681.90
  4. Step 4: Simplify right side
    680,630.70x = 466,247,581,911.50
  5. Step 5: Solve for x
    x = 466,247,581,911.50/680,630.70
  6. Step 6: Final answer
    x = 685,022.85

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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.