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Finding the Fourth Proportional to 778,749,000.64, 1,074,673,642.08 and 431,068,488.64

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Solution

The fourth proportional to 778,749,000.64, 1,074,673,642.08 and 431,068,488.64 is: 594,874,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,749,000.64 : 1,074,673,642.08 = 431,068,488.64 : x
  2. Step 2: Convert to fraction form
    778,749,000.64/1,074,673,642.08 = 431,068,488.64/x
  3. Step 3: Cross multiply
    778,749,000.64x = 1,074,673,642.08 × 431,068,488.64
  4. Step 4: Simplify right side
    778,749,000.64x = 463,257,942,672,669,888
  5. Step 5: Solve for x
    x = 463,257,942,672,669,888/778,749,000.64
  6. Step 6: Final answer
    x = 594,874,526.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.