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Finding the Fourth Proportional to 315,071,569.05, 472,607,353.58 and 315,071,569.05

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Solution

The fourth proportional to 315,071,569.05, 472,607,353.58 and 315,071,569.05 is: 472,607,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,071,569.05 : 472,607,353.58 = 315,071,569.05 : x
  2. Step 2: Convert to fraction form
    315,071,569.05/472,607,353.58 = 315,071,569.05/x
  3. Step 3: Cross multiply
    315,071,569.05x = 472,607,353.58 × 315,071,569.05
  4. Step 4: Simplify right side
    315,071,569.05x = 148,905,140,435,443,392
  5. Step 5: Solve for x
    x = 148,905,140,435,443,392/315,071,569.05
  6. Step 6: Final answer
    x = 472,607,353.58

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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.