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Finding the Fourth Proportional to 706,812.67, 975,328.66 and 420,277.40

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Solution

The fourth proportional to 706,812.67, 975,328.66 and 420,277.40 is: 579,939.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,812.67 : 975,328.66 = 420,277.40 : x
  2. Step 2: Convert to fraction form
    706,812.67/975,328.66 = 420,277.40/x
  3. Step 3: Cross multiply
    706,812.67x = 975,328.66 × 420,277.40
  4. Step 4: Simplify right side
    706,812.67x = 409,908,593,370.28
  5. Step 5: Solve for x
    x = 409,908,593,370.28/706,812.67
  6. Step 6: Final answer
    x = 579,939.51

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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.