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Finding the Fourth Proportional to 612,938.40, 917,701.20 and 312,770.40

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Solution

The fourth proportional to 612,938.40, 917,701.20 and 312,770.40 is: 468,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,938.40 : 917,701.20 = 312,770.40 : x
  2. Step 2: Convert to fraction form
    612,938.40/917,701.20 = 312,770.40/x
  3. Step 3: Cross multiply
    612,938.40x = 917,701.20 × 312,770.40
  4. Step 4: Simplify right side
    612,938.40x = 287,029,771,404.48
  5. Step 5: Solve for x
    x = 287,029,771,404.48/612,938.40
  6. Step 6: Final answer
    x = 468,284.86

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1.5x scale

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.