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Finding the Fourth Proportional to 545,756,853.60, 818,635,280.40 and 200,639,068.20

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Solution

The fourth proportional to 545,756,853.60, 818,635,280.40 and 200,639,068.20 is: 300,958,602.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,756,853.60 : 818,635,280.40 = 200,639,068.20 : x
  2. Step 2: Convert to fraction form
    545,756,853.60/818,635,280.40 = 200,639,068.20/x
  3. Step 3: Cross multiply
    545,756,853.60x = 818,635,280.40 × 200,639,068.20
  4. Step 4: Simplify right side
    545,756,853.60x = 164,250,219,855,101,696
  5. Step 5: Solve for x
    x = 164,250,219,855,101,696/545,756,853.60
  6. Step 6: Final answer
    x = 300,958,602.30

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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.