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Finding the Fourth Proportional to 706,038.68, 974,328.80 and 404,291

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Solution

The fourth proportional to 706,038.68, 974,328.80 and 404,291 is: 557,918.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,038.68 : 974,328.80 = 404,291 : x
  2. Step 2: Convert to fraction form
    706,038.68/974,328.80 = 404,291/x
  3. Step 3: Cross multiply
    706,038.68x = 974,328.80 × 404,291
  4. Step 4: Simplify right side
    706,038.68x = 393,912,364,880.80
  5. Step 5: Solve for x
    x = 393,912,364,880.80/706,038.68
  6. Step 6: Final answer
    x = 557,918.96

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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.