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Finding the Fourth Proportional to 661,071.42, 991,430.01 and 287,005.50

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Solution

The fourth proportional to 661,071.42, 991,430.01 and 287,005.50 is: 430,431.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,071.42 : 991,430.01 = 287,005.50 : x
  2. Step 2: Convert to fraction form
    661,071.42/991,430.01 = 287,005.50/x
  3. Step 3: Cross multiply
    661,071.42x = 991,430.01 × 287,005.50
  4. Step 4: Simplify right side
    661,071.42x = 284,545,865,735.06
  5. Step 5: Solve for x
    x = 284,545,865,735.06/661,071.42
  6. Step 6: Final answer
    x = 430,431.35

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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.