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Finding the Fourth Proportional to 706,733.52, 974,970.48 and 420,090.72

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Solution

The fourth proportional to 706,733.52, 974,970.48 and 420,090.72 is: 579,533.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,733.52 : 974,970.48 = 420,090.72 : x
  2. Step 2: Convert to fraction form
    706,733.52/974,970.48 = 420,090.72/x
  3. Step 3: Cross multiply
    706,733.52x = 974,970.48 × 420,090.72
  4. Step 4: Simplify right side
    706,733.52x = 409,576,050,921.95
  5. Step 5: Solve for x
    x = 409,576,050,921.95/706,733.52
  6. Step 6: Final answer
    x = 579,533.93

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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.