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Finding the Fourth Proportional to 977,628.32, 1,349,214 and 569,708

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Solution

The fourth proportional to 977,628.32, 1,349,214 and 569,708 is: 786,247.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,628.32 : 1,349,214 = 569,708 : x
  2. Step 2: Convert to fraction form
    977,628.32/1,349,214 = 569,708/x
  3. Step 3: Cross multiply
    977,628.32x = 1,349,214 × 569,708
  4. Step 4: Simplify right side
    977,628.32x = 768,658,009,512
  5. Step 5: Solve for x
    x = 768,658,009,512/977,628.32
  6. Step 6: Final answer
    x = 786,247.69

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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.