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Finding the Fourth Proportional to 672,195,547.42, 927,695,984.42 and 407,856,794.02

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Solution

The fourth proportional to 672,195,547.42, 927,695,984.42 and 407,856,794.02 is: 562,882,499.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,195,547.42 : 927,695,984.42 = 407,856,794.02 : x
  2. Step 2: Convert to fraction form
    672,195,547.42/927,695,984.42 = 407,856,794.02/x
  3. Step 3: Cross multiply
    672,195,547.42x = 927,695,984.42 × 407,856,794.02
  4. Step 4: Simplify right side
    672,195,547.42x = 378,367,110,029,469,440
  5. Step 5: Solve for x
    x = 378,367,110,029,469,440/672,195,547.42
  6. Step 6: Final answer
    x = 562,882,499.72

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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.