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Finding the Fourth Proportional to 659,343.34, 989,421.09 and 259,916.14

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Solution

The fourth proportional to 659,343.34, 989,421.09 and 259,916.14 is: 390,034.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,343.34 : 989,421.09 = 259,916.14 : x
  2. Step 2: Convert to fraction form
    659,343.34/989,421.09 = 259,916.14/x
  3. Step 3: Cross multiply
    659,343.34x = 989,421.09 × 259,916.14
  4. Step 4: Simplify right side
    659,343.34x = 257,166,510,547.39
  5. Step 5: Solve for x
    x = 257,166,510,547.39/659,343.34
  6. Step 6: Final answer
    x = 390,034.29

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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.