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Finding the Fourth Proportional to 346,502, 478,172.78 and 187,526

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Solution

The fourth proportional to 346,502, 478,172.78 and 187,526 is: 258,785.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,502 : 478,172.78 = 187,526 : x
  2. Step 2: Convert to fraction form
    346,502/478,172.78 = 187,526/x
  3. Step 3: Cross multiply
    346,502x = 478,172.78 × 187,526
  4. Step 4: Simplify right side
    346,502x = 89,669,828,742.28
  5. Step 5: Solve for x
    x = 89,669,828,742.28/346,502
  6. Step 6: Final answer
    x = 258,785.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.