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Finding the Fourth Proportional to 407,834.20, 610,541.70 and 303,117.40

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Solution

The fourth proportional to 407,834.20, 610,541.70 and 303,117.40 is: 453,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,834.20 : 610,541.70 = 303,117.40 : x
  2. Step 2: Convert to fraction form
    407,834.20/610,541.70 = 303,117.40/x
  3. Step 3: Cross multiply
    407,834.20x = 610,541.70 × 303,117.40
  4. Step 4: Simplify right side
    407,834.20x = 185,065,812,695.58
  5. Step 5: Solve for x
    x = 185,065,812,695.58/407,834.20
  6. Step 6: Final answer
    x = 453,777.08

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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.