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Finding the Fourth Proportional to 458,913.40, 688,370.10 and 407,737.60

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Solution

The fourth proportional to 458,913.40, 688,370.10 and 407,737.60 is: 611,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,913.40 : 688,370.10 = 407,737.60 : x
  2. Step 2: Convert to fraction form
    458,913.40/688,370.10 = 407,737.60/x
  3. Step 3: Cross multiply
    458,913.40x = 688,370.10 × 407,737.60
  4. Step 4: Simplify right side
    458,913.40x = 280,674,372,485.76
  5. Step 5: Solve for x
    x = 280,674,372,485.76/458,913.40
  6. Step 6: Final answer
    x = 611,606.40

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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.