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Finding the Fourth Proportional to 706,842.64, 975,370.02 and 420,307.36

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Solution

The fourth proportional to 706,842.64, 975,370.02 and 420,307.36 is: 579,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,842.64 : 975,370.02 = 420,307.36 : x
  2. Step 2: Convert to fraction form
    706,842.64/975,370.02 = 420,307.36/x
  3. Step 3: Cross multiply
    706,842.64x = 975,370.02 × 420,307.36
  4. Step 4: Simplify right side
    706,842.64x = 409,955,198,129.35
  5. Step 5: Solve for x
    x = 409,955,198,129.35/706,842.64
  6. Step 6: Final answer
    x = 579,980.85

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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.