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Finding the Fourth Proportional to 405,071.80, 607,607.70 and 138,834.93

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Solution

The fourth proportional to 405,071.80, 607,607.70 and 138,834.93 is: 208,252.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,071.80 : 607,607.70 = 138,834.93 : x
  2. Step 2: Convert to fraction form
    405,071.80/607,607.70 = 138,834.93/x
  3. Step 3: Cross multiply
    405,071.80x = 607,607.70 × 138,834.93
  4. Step 4: Simplify right side
    405,071.80x = 84,357,172,496.96
  5. Step 5: Solve for x
    x = 84,357,172,496.96/405,071.80
  6. Step 6: Final answer
    x = 208,252.40

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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.