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Finding the Fourth Proportional to 663,758,802.72, 995,319,543.60 and 313,713,298.08

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Solution

The fourth proportional to 663,758,802.72, 995,319,543.60 and 313,713,298.08 is: 470,419,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,758,802.72 : 995,319,543.60 = 313,713,298.08 : x
  2. Step 2: Convert to fraction form
    663,758,802.72/995,319,543.60 = 313,713,298.08/x
  3. Step 3: Cross multiply
    663,758,802.72x = 995,319,543.60 × 313,713,298.08
  4. Step 4: Simplify right side
    663,758,802.72x = 312,244,976,666,236,352
  5. Step 5: Solve for x
    x = 312,244,976,666,236,352/663,758,802.72
  6. Step 6: Final answer
    x = 470,419,338.15

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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.