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Finding the Fourth Proportional to 406,948.80, 611,006.40 and 307,804.80

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Solution

The fourth proportional to 406,948.80, 611,006.40 and 307,804.80 is: 462,148.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,948.80 : 611,006.40 = 307,804.80 : x
  2. Step 2: Convert to fraction form
    406,948.80/611,006.40 = 307,804.80/x
  3. Step 3: Cross multiply
    406,948.80x = 611,006.40 × 307,804.80
  4. Step 4: Simplify right side
    406,948.80x = 188,070,702,750.72
  5. Step 5: Solve for x
    x = 188,070,702,750.72/406,948.80
  6. Step 6: Final answer
    x = 462,148.32

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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.