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Finding the Fourth Proportional to 575,756.88, 862,478.71 and 286,697.67

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Solution

The fourth proportional to 575,756.88, 862,478.71 and 286,697.67 is: 429,470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,756.88 : 862,478.71 = 286,697.67 : x
  2. Step 2: Convert to fraction form
    575,756.88/862,478.71 = 286,697.67/x
  3. Step 3: Cross multiply
    575,756.88x = 862,478.71 × 286,697.67
  4. Step 4: Simplify right side
    575,756.88x = 247,270,635,148.12
  5. Step 5: Solve for x
    x = 247,270,635,148.12/575,756.88
  6. Step 6: Final answer
    x = 429,470.57

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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.