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Finding the Fourth Proportional to 276,565,894.40, 414,848,841.60 and 138,816,387.20

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Solution

The fourth proportional to 276,565,894.40, 414,848,841.60 and 138,816,387.20 is: 208,224,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,565,894.40 : 414,848,841.60 = 138,816,387.20 : x
  2. Step 2: Convert to fraction form
    276,565,894.40/414,848,841.60 = 138,816,387.20/x
  3. Step 3: Cross multiply
    276,565,894.40x = 414,848,841.60 × 138,816,387.20
  4. Step 4: Simplify right side
    276,565,894.40x = 57,587,817,425,017,064
  5. Step 5: Solve for x
    x = 57,587,817,425,017,064/276,565,894.40
  6. Step 6: Final answer
    x = 208,224,580.80

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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.