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Finding the Fourth Proportional to 406,510.02, 610,139.34 and 206,973

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Solution

The fourth proportional to 406,510.02, 610,139.34 and 206,973 is: 310,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,510.02 : 610,139.34 = 206,973 : x
  2. Step 2: Convert to fraction form
    406,510.02/610,139.34 = 206,973/x
  3. Step 3: Cross multiply
    406,510.02x = 610,139.34 × 206,973
  4. Step 4: Simplify right side
    406,510.02x = 126,282,369,617.82
  5. Step 5: Solve for x
    x = 126,282,369,617.82/406,510.02
  6. Step 6: Final answer
    x = 310,650.08

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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.