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Finding the Fourth Proportional to 570,422.11, 787,191.80 and 312,294.70

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Solution

The fourth proportional to 570,422.11, 787,191.80 and 312,294.70 is: 430,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,422.11 : 787,191.80 = 312,294.70 : x
  2. Step 2: Convert to fraction form
    570,422.11/787,191.80 = 312,294.70/x
  3. Step 3: Cross multiply
    570,422.11x = 787,191.80 × 312,294.70
  4. Step 4: Simplify right side
    570,422.11x = 245,835,825,461.99
  5. Step 5: Solve for x
    x = 245,835,825,461.99/570,422.11
  6. Step 6: Final answer
    x = 430,971.77

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1.5x scale

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.