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Finding the Fourth Proportional to 406,473,077.80, 609,709,616.70 and 133,808,415.40

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Solution

The fourth proportional to 406,473,077.80, 609,709,616.70 and 133,808,415.40 is: 200,712,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,473,077.80 : 609,709,616.70 = 133,808,415.40 : x
  2. Step 2: Convert to fraction form
    406,473,077.80/609,709,616.70 = 133,808,415.40/x
  3. Step 3: Cross multiply
    406,473,077.80x = 609,709,616.70 × 133,808,415.40
  4. Step 4: Simplify right side
    406,473,077.80x = 81,584,277,664,768,384
  5. Step 5: Solve for x
    x = 81,584,277,664,768,384/406,473,077.80
  6. Step 6: Final answer
    x = 200,712,623.10

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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.