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Finding the Fourth Proportional to 341,663,997.60, 511,301,602.80 and 312,998,551.20

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Solution

The fourth proportional to 341,663,997.60, 511,301,602.80 and 312,998,551.20 is: 468,403,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,663,997.60 : 511,301,602.80 = 312,998,551.20 : x
  2. Step 2: Convert to fraction form
    341,663,997.60/511,301,602.80 = 312,998,551.20/x
  3. Step 3: Cross multiply
    341,663,997.60x = 511,301,602.80 × 312,998,551.20
  4. Step 4: Simplify right side
    341,663,997.60x = 160,036,660,902,637,856
  5. Step 5: Solve for x
    x = 160,036,660,902,637,856/341,663,997.60
  6. Step 6: Final answer
    x = 468,403,642.25

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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.