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Finding the Fourth Proportional to 354,712,559.74, 489,733,662.94 and 317,478,359.86

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Solution

The fourth proportional to 354,712,559.74, 489,733,662.94 and 317,478,359.86 is: 438,326,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,712,559.74 : 489,733,662.94 = 317,478,359.86 : x
  2. Step 2: Convert to fraction form
    354,712,559.74/489,733,662.94 = 317,478,359.86/x
  3. Step 3: Cross multiply
    354,712,559.74x = 489,733,662.94 × 317,478,359.86
  4. Step 4: Simplify right side
    354,712,559.74x = 155,479,840,076,403,232
  5. Step 5: Solve for x
    x = 155,479,840,076,403,232/354,712,559.74
  6. Step 6: Final answer
    x = 438,326,289.30

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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.