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Finding the Fourth Proportional to 661,345.08, 912,679.83 and 406,647.06

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Solution

The fourth proportional to 661,345.08, 912,679.83 and 406,647.06 is: 561,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,345.08 : 912,679.83 = 406,647.06 : x
  2. Step 2: Convert to fraction form
    661,345.08/912,679.83 = 406,647.06/x
  3. Step 3: Cross multiply
    661,345.08x = 912,679.83 × 406,647.06
  4. Step 4: Simplify right side
    661,345.08x = 371,138,569,590.80
  5. Step 5: Solve for x
    x = 371,138,569,590.80/661,345.08
  6. Step 6: Final answer
    x = 561,187.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.