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Finding the Fourth Proportional to 583,930.06, 805,900.80 and 342,307.60

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Solution

The fourth proportional to 583,930.06, 805,900.80 and 342,307.60 is: 472,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,930.06 : 805,900.80 = 342,307.60 : x
  2. Step 2: Convert to fraction form
    583,930.06/805,900.80 = 342,307.60/x
  3. Step 3: Cross multiply
    583,930.06x = 805,900.80 × 342,307.60
  4. Step 4: Simplify right side
    583,930.06x = 275,865,968,686.08
  5. Step 5: Solve for x
    x = 275,865,968,686.08/583,930.06
  6. Step 6: Final answer
    x = 472,429.81

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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.