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Finding the Fourth Proportional to 583,712.68, 805,488.78 and 338,678.50

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Solution

The fourth proportional to 583,712.68, 805,488.78 and 338,678.50 is: 467,356.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,712.68 : 805,488.78 = 338,678.50 : x
  2. Step 2: Convert to fraction form
    583,712.68/805,488.78 = 338,678.50/x
  3. Step 3: Cross multiply
    583,712.68x = 805,488.78 × 338,678.50
  4. Step 4: Simplify right side
    583,712.68x = 272,801,731,777.23
  5. Step 5: Solve for x
    x = 272,801,731,777.23/583,712.68
  6. Step 6: Final answer
    x = 467,356.19

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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.