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Finding the Fourth Proportional to 402,445, 555,376.26 and 223,597

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Solution

The fourth proportional to 402,445, 555,376.26 and 223,597 is: 308,565.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,445 : 555,376.26 = 223,597 : x
  2. Step 2: Convert to fraction form
    402,445/555,376.26 = 223,597/x
  3. Step 3: Cross multiply
    402,445x = 555,376.26 × 223,597
  4. Step 4: Simplify right side
    402,445x = 124,180,465,607.22
  5. Step 5: Solve for x
    x = 124,180,465,607.22/402,445
  6. Step 6: Final answer
    x = 308,565.06

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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.