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Finding the Fourth Proportional to 261,030.40, 390,962.40 and 214,374.40

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Solution

The fourth proportional to 261,030.40, 390,962.40 and 214,374.40 is: 321,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,030.40 : 390,962.40 = 214,374.40 : x
  2. Step 2: Convert to fraction form
    261,030.40/390,962.40 = 214,374.40/x
  3. Step 3: Cross multiply
    261,030.40x = 390,962.40 × 214,374.40
  4. Step 4: Simplify right side
    261,030.40x = 83,812,329,922.56
  5. Step 5: Solve for x
    x = 83,812,329,922.56/261,030.40
  6. Step 6: Final answer
    x = 321,082.64

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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.