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Finding the Fourth Proportional to 646,562,827.80, 969,844,241.70 and 186,516,005.40

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Solution

The fourth proportional to 646,562,827.80, 969,844,241.70 and 186,516,005.40 is: 279,774,008.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,562,827.80 : 969,844,241.70 = 186,516,005.40 : x
  2. Step 2: Convert to fraction form
    646,562,827.80/969,844,241.70 = 186,516,005.40/x
  3. Step 3: Cross multiply
    646,562,827.80x = 969,844,241.70 × 186,516,005.40
  4. Step 4: Simplify right side
    646,562,827.80x = 180,891,473,822,076,128
  5. Step 5: Solve for x
    x = 180,891,473,822,076,128/646,562,827.80
  6. Step 6: Final answer
    x = 279,774,008.10

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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.