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Finding the Fourth Proportional to 423,097.89, 634,740.28 and 156,858.42

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Solution

The fourth proportional to 423,097.89, 634,740.28 and 156,858.42 is: 235,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,097.89 : 634,740.28 = 156,858.42 : x
  2. Step 2: Convert to fraction form
    423,097.89/634,740.28 = 156,858.42/x
  3. Step 3: Cross multiply
    423,097.89x = 634,740.28 × 156,858.42
  4. Step 4: Simplify right side
    423,097.89x = 99,564,356,646.87
  5. Step 5: Solve for x
    x = 99,564,356,646.87/423,097.89
  6. Step 6: Final answer
    x = 235,322.27

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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.