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Finding the Fourth Proportional to 430,581,444.60, 645,872,166.90 and 430,581,444.60

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Solution

The fourth proportional to 430,581,444.60, 645,872,166.90 and 430,581,444.60 is: 645,872,166.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,581,444.60 : 645,872,166.90 = 430,581,444.60 : x
  2. Step 2: Convert to fraction form
    430,581,444.60/645,872,166.90 = 430,581,444.60/x
  3. Step 3: Cross multiply
    430,581,444.60x = 645,872,166.90 × 430,581,444.60
  4. Step 4: Simplify right side
    430,581,444.60x = 278,100,570,650,734,304
  5. Step 5: Solve for x
    x = 278,100,570,650,734,304/430,581,444.60
  6. Step 6: Final answer
    x = 645,872,166.90

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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.