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Finding the Fourth Proportional to 319,221,406.40, 478,832,109.60 and 319,221,406.40

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Solution

The fourth proportional to 319,221,406.40, 478,832,109.60 and 319,221,406.40 is: 478,832,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,221,406.40 : 478,832,109.60 = 319,221,406.40 : x
  2. Step 2: Convert to fraction form
    319,221,406.40/478,832,109.60 = 319,221,406.40/x
  3. Step 3: Cross multiply
    319,221,406.40x = 478,832,109.60 × 319,221,406.40
  4. Step 4: Simplify right side
    319,221,406.40x = 152,853,459,455,990,944
  5. Step 5: Solve for x
    x = 152,853,459,455,990,944/319,221,406.40
  6. Step 6: Final answer
    x = 478,832,109.60

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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.