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Finding the Fourth Proportional to 405,014.13, 607,607.10 and 138,703.14

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Solution

The fourth proportional to 405,014.13, 607,607.10 and 138,703.14 is: 208,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,014.13 : 607,607.10 = 138,703.14 : x
  2. Step 2: Convert to fraction form
    405,014.13/607,607.10 = 138,703.14/x
  3. Step 3: Cross multiply
    405,014.13x = 607,607.10 × 138,703.14
  4. Step 4: Simplify right side
    405,014.13x = 84,277,012,656.29
  5. Step 5: Solve for x
    x = 84,277,012,656.29/405,014.13
  6. Step 6: Final answer
    x = 208,084.13

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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.