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Finding the Fourth Proportional to 612,230.70, 917,580.60 and 312,830.40

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Solution

The fourth proportional to 612,230.70, 917,580.60 and 312,830.40 is: 468,854.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,230.70 : 917,580.60 = 312,830.40 : x
  2. Step 2: Convert to fraction form
    612,230.70/917,580.60 = 312,830.40/x
  3. Step 3: Cross multiply
    612,230.70x = 917,580.60 × 312,830.40
  4. Step 4: Simplify right side
    612,230.70x = 287,047,106,130.24
  5. Step 5: Solve for x
    x = 287,047,106,130.24/612,230.70
  6. Step 6: Final answer
    x = 468,854.48

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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.