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Finding the Fourth Proportional to 257,477.68, 386,323.13 and 139,009.71

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Solution

The fourth proportional to 257,477.68, 386,323.13 and 139,009.71 is: 208,572.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,477.68 : 386,323.13 = 139,009.71 : x
  2. Step 2: Convert to fraction form
    257,477.68/386,323.13 = 139,009.71/x
  3. Step 3: Cross multiply
    257,477.68x = 386,323.13 × 139,009.71
  4. Step 4: Simplify right side
    257,477.68x = 53,702,666,267.59
  5. Step 5: Solve for x
    x = 53,702,666,267.59/257,477.68
  6. Step 6: Final answer
    x = 208,572.12

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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.