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Finding the Fourth Proportional to 671,712, 1,006,552.32 and 405,176.32

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Solution

The fourth proportional to 671,712, 1,006,552.32 and 405,176.32 is: 607,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,712 : 1,006,552.32 = 405,176.32 : x
  2. Step 2: Convert to fraction form
    671,712/1,006,552.32 = 405,176.32/x
  3. Step 3: Cross multiply
    671,712x = 1,006,552.32 × 405,176.32
  4. Step 4: Simplify right side
    671,712x = 407,831,164,905.06
  5. Step 5: Solve for x
    x = 407,831,164,905.06/671,712
  6. Step 6: Final answer
    x = 607,151.82

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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.