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Finding the Fourth Proportional to 319,306,007.80, 478,959,011.70 and 319,306,007.80

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Solution

The fourth proportional to 319,306,007.80, 478,959,011.70 and 319,306,007.80 is: 478,959,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,306,007.80 : 478,959,011.70 = 319,306,007.80 : x
  2. Step 2: Convert to fraction form
    319,306,007.80/478,959,011.70 = 319,306,007.80/x
  3. Step 3: Cross multiply
    319,306,007.80x = 478,959,011.70 × 319,306,007.80
  4. Step 4: Simplify right side
    319,306,007.80x = 152,934,489,925,760,480
  5. Step 5: Solve for x
    x = 152,934,489,925,760,480/319,306,007.80
  6. Step 6: Final answer
    x = 478,959,011.70

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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.