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Finding the Fourth Proportional to 652,308, 900,186.66 and 380,562.72

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Solution

The fourth proportional to 652,308, 900,186.66 and 380,562.72 is: 525,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,308 : 900,186.66 = 380,562.72 : x
  2. Step 2: Convert to fraction form
    652,308/900,186.66 = 380,562.72/x
  3. Step 3: Cross multiply
    652,308x = 900,186.66 × 380,562.72
  4. Step 4: Simplify right side
    652,308x = 342,577,483,837.32
  5. Step 5: Solve for x
    x = 342,577,483,837.32/652,308
  6. Step 6: Final answer
    x = 525,177.50

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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.