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Finding the Fourth Proportional to 217,630,094.40, 325,689,314.40 and 149,605,646.40

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Solution

The fourth proportional to 217,630,094.40, 325,689,314.40 and 149,605,646.40 is: 223,888,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,630,094.40 : 325,689,314.40 = 149,605,646.40 : x
  2. Step 2: Convert to fraction form
    217,630,094.40/325,689,314.40 = 149,605,646.40/x
  3. Step 3: Cross multiply
    217,630,094.40x = 325,689,314.40 × 149,605,646.40
  4. Step 4: Simplify right side
    217,630,094.40x = 48,724,960,406,384,824
  5. Step 5: Solve for x
    x = 48,724,960,406,384,824/217,630,094.40
  6. Step 6: Final answer
    x = 223,888,890.65

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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.