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Finding the Fourth Proportional to 407,871.70, 611,807.55 and 407,871.70

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Solution

The fourth proportional to 407,871.70, 611,807.55 and 407,871.70 is: 611,807.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,871.70 : 611,807.55 = 407,871.70 : x
  2. Step 2: Convert to fraction form
    407,871.70/611,807.55 = 407,871.70/x
  3. Step 3: Cross multiply
    407,871.70x = 611,807.55 × 407,871.70
  4. Step 4: Simplify right side
    407,871.70x = 249,538,985,491.34
  5. Step 5: Solve for x
    x = 249,538,985,491.34/407,871.70
  6. Step 6: Final answer
    x = 611,807.55

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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.