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Finding the Fourth Proportional to 423,410.45, 634,981.91 and 139,054.14

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Solution

The fourth proportional to 423,410.45, 634,981.91 and 139,054.14 is: 208,537.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,410.45 : 634,981.91 = 139,054.14 : x
  2. Step 2: Convert to fraction form
    423,410.45/634,981.91 = 139,054.14/x
  3. Step 3: Cross multiply
    423,410.45x = 634,981.91 × 139,054.14
  4. Step 4: Simplify right side
    423,410.45x = 88,296,862,715.34
  5. Step 5: Solve for x
    x = 88,296,862,715.34/423,410.45
  6. Step 6: Final answer
    x = 208,537.28

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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.