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Finding the Fourth Proportional to 653,205,454.80, 978,674,441.40 and 423,056,072.40

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Solution

The fourth proportional to 653,205,454.80, 978,674,441.40 and 423,056,072.40 is: 633,849,828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,205,454.80 : 978,674,441.40 = 423,056,072.40 : x
  2. Step 2: Convert to fraction form
    653,205,454.80/978,674,441.40 = 423,056,072.40/x
  3. Step 3: Cross multiply
    653,205,454.80x = 978,674,441.40 × 423,056,072.40
  4. Step 4: Simplify right side
    653,205,454.80x = 414,034,165,336,947,904
  5. Step 5: Solve for x
    x = 414,034,165,336,947,904/653,205,454.80
  6. Step 6: Final answer
    x = 633,849,828.25

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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.