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Finding the Fourth Proportional to 482,807.40, 724,340.70 and 430,578.60

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Solution

The fourth proportional to 482,807.40, 724,340.70 and 430,578.60 is: 645,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,807.40 : 724,340.70 = 430,578.60 : x
  2. Step 2: Convert to fraction form
    482,807.40/724,340.70 = 430,578.60/x
  3. Step 3: Cross multiply
    482,807.40x = 724,340.70 × 430,578.60
  4. Step 4: Simplify right side
    482,807.40x = 311,885,604,529.02
  5. Step 5: Solve for x
    x = 311,885,604,529.02/482,807.40
  6. Step 6: Final answer
    x = 645,983.48

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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.