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Finding the Fourth Proportional to 642,411.80, 963,617.70 and 430,904.60

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Solution

The fourth proportional to 642,411.80, 963,617.70 and 430,904.60 is: 646,356.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,411.80 : 963,617.70 = 430,904.60 : x
  2. Step 2: Convert to fraction form
    642,411.80/963,617.70 = 430,904.60/x
  3. Step 3: Cross multiply
    642,411.80x = 963,617.70 × 430,904.60
  4. Step 4: Simplify right side
    642,411.80x = 415,227,299,571.42
  5. Step 5: Solve for x
    x = 415,227,299,571.42/642,411.80
  6. Step 6: Final answer
    x = 646,356.90

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1.5x scale

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.