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Finding the Fourth Proportional to 407,644.96, 610,807.36 and 249,393.76

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Solution

The fourth proportional to 407,644.96, 610,807.36 and 249,393.76 is: 373,686.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,644.96 : 610,807.36 = 249,393.76 : x
  2. Step 2: Convert to fraction form
    407,644.96/610,807.36 = 249,393.76/x
  3. Step 3: Cross multiply
    407,644.96x = 610,807.36 × 249,393.76
  4. Step 4: Simplify right side
    407,644.96x = 152,331,544,146.07
  5. Step 5: Solve for x
    x = 152,331,544,146.07/407,644.96
  6. Step 6: Final answer
    x = 373,686.81

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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.