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Finding the Fourth Proportional to 314,928,428.30, 439,879,432.90 and 314,928,428.30

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Solution

The fourth proportional to 314,928,428.30, 439,879,432.90 and 314,928,428.30 is: 439,879,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,428.30 : 439,879,432.90 = 314,928,428.30 : x
  2. Step 2: Convert to fraction form
    314,928,428.30/439,879,432.90 = 314,928,428.30/x
  3. Step 3: Cross multiply
    314,928,428.30x = 439,879,432.90 × 314,928,428.30
  4. Step 4: Simplify right side
    314,928,428.30x = 138,530,538,444,692,304
  5. Step 5: Solve for x
    x = 138,530,538,444,692,304/314,928,428.30
  6. Step 6: Final answer
    x = 439,879,432.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.