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Finding the Fourth Proportional to 610,421.75, 842,382.02 and 342,149.75

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Solution

The fourth proportional to 610,421.75, 842,382.02 and 342,149.75 is: 472,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,421.75 : 842,382.02 = 342,149.75 : x
  2. Step 2: Convert to fraction form
    610,421.75/842,382.02 = 342,149.75/x
  3. Step 3: Cross multiply
    610,421.75x = 842,382.02 × 342,149.75
  4. Step 4: Simplify right side
    610,421.75x = 288,220,797,547.50
  5. Step 5: Solve for x
    x = 288,220,797,547.50/610,421.75
  6. Step 6: Final answer
    x = 472,166.66

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1.5x scale

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.