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Finding the Fourth Proportional to 689,663,669.60, 1,034,644,803.60 and 205,038,466.40

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Solution

The fourth proportional to 689,663,669.60, 1,034,644,803.60 and 205,038,466.40 is: 307,602,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,663,669.60 : 1,034,644,803.60 = 205,038,466.40 : x
  2. Step 2: Convert to fraction form
    689,663,669.60/1,034,644,803.60 = 205,038,466.40/x
  3. Step 3: Cross multiply
    689,663,669.60x = 1,034,644,803.60 × 205,038,466.40
  4. Step 4: Simplify right side
    689,663,669.60x = 212,141,983,798,873,216
  5. Step 5: Solve for x
    x = 212,141,983,798,873,216/689,663,669.60
  6. Step 6: Final answer
    x = 307,602,086.57

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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.