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Finding the Fourth Proportional to 652,399.14, 900,312.45 and 380,653.86

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Solution

The fourth proportional to 652,399.14, 900,312.45 and 380,653.86 is: 525,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,399.14 : 900,312.45 = 380,653.86 : x
  2. Step 2: Convert to fraction form
    652,399.14/900,312.45 = 380,653.86/x
  3. Step 3: Cross multiply
    652,399.14x = 900,312.45 × 380,653.86
  4. Step 4: Simplify right side
    652,399.14x = 342,707,409,298.56
  5. Step 5: Solve for x
    x = 342,707,409,298.56/652,399.14
  6. Step 6: Final answer
    x = 525,303.28

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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.