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Finding the Fourth Proportional to 650,784.16, 897,978.72 and 364,316.32

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Solution

The fourth proportional to 650,784.16, 897,978.72 and 364,316.32 is: 502,698.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,784.16 : 897,978.72 = 364,316.32 : x
  2. Step 2: Convert to fraction form
    650,784.16/897,978.72 = 364,316.32/x
  3. Step 3: Cross multiply
    650,784.16x = 897,978.72 × 364,316.32
  4. Step 4: Simplify right side
    650,784.16x = 327,148,302,708.71
  5. Step 5: Solve for x
    x = 327,148,302,708.71/650,784.16
  6. Step 6: Final answer
    x = 502,698.63

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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.