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Finding the Fourth Proportional to 217,269,301.80, 325,903,952.70 and 102,478,045.80

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Solution

The fourth proportional to 217,269,301.80, 325,903,952.70 and 102,478,045.80 is: 153,717,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,269,301.80 : 325,903,952.70 = 102,478,045.80 : x
  2. Step 2: Convert to fraction form
    217,269,301.80/325,903,952.70 = 102,478,045.80/x
  3. Step 3: Cross multiply
    217,269,301.80x = 325,903,952.70 × 102,478,045.80
  4. Step 4: Simplify right side
    217,269,301.80x = 33,398,000,191,191,632
  5. Step 5: Solve for x
    x = 33,398,000,191,191,632/217,269,301.80
  6. Step 6: Final answer
    x = 153,717,068.70

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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.