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Finding the Fourth Proportional to 706,206.12, 974,543.76 and 400,310.70

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Solution

The fourth proportional to 706,206.12, 974,543.76 and 400,310.70 is: 552,417.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,206.12 : 974,543.76 = 400,310.70 : x
  2. Step 2: Convert to fraction form
    706,206.12/974,543.76 = 400,310.70/x
  3. Step 3: Cross multiply
    706,206.12x = 974,543.76 × 400,310.70
  4. Step 4: Simplify right side
    706,206.12x = 390,120,294,746.23
  5. Step 5: Solve for x
    x = 390,120,294,746.23/706,206.12
  6. Step 6: Final answer
    x = 552,417.04

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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.