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Finding the Fourth Proportional to 470,762, 706,143 and 138,338

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Solution

The fourth proportional to 470,762, 706,143 and 138,338 is: 207,507

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,762 : 706,143 = 138,338 : x
  2. Step 2: Convert to fraction form
    470,762/706,143 = 138,338/x
  3. Step 3: Cross multiply
    470,762x = 706,143 × 138,338
  4. Step 4: Simplify right side
    470,762x = 97,686,410,334
  5. Step 5: Solve for x
    x = 97,686,410,334/470,762
  6. Step 6: Final answer
    x = 207,507

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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.