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Finding the Fourth Proportional to 517,652,738.40, 776,920,006.80 and 211,164,808.80

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Solution

The fourth proportional to 517,652,738.40, 776,920,006.80 and 211,164,808.80 is: 316,927,068.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,652,738.40 : 776,920,006.80 = 211,164,808.80 : x
  2. Step 2: Convert to fraction form
    517,652,738.40/776,920,006.80 = 211,164,808.80/x
  3. Step 3: Cross multiply
    517,652,738.40x = 776,920,006.80 × 211,164,808.80
  4. Step 4: Simplify right side
    517,652,738.40x = 164,058,164,688,816,704
  5. Step 5: Solve for x
    x = 164,058,164,688,816,704/517,652,738.40
  6. Step 6: Final answer
    x = 316,927,068.13

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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.