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Finding the Fourth Proportional to 407,715.40, 610,406.70 and 407,715.40

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Solution

The fourth proportional to 407,715.40, 610,406.70 and 407,715.40 is: 610,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,715.40 : 610,406.70 = 407,715.40 : x
  2. Step 2: Convert to fraction form
    407,715.40/610,406.70 = 407,715.40/x
  3. Step 3: Cross multiply
    407,715.40x = 610,406.70 × 407,715.40
  4. Step 4: Simplify right side
    407,715.40x = 248,872,211,853.18
  5. Step 5: Solve for x
    x = 248,872,211,853.18/407,715.40
  6. Step 6: Final answer
    x = 610,406.70

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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.