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Finding the Fourth Proportional to 522,854.77, 721,762.88 and 442,701.22

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Solution

The fourth proportional to 522,854.77, 721,762.88 and 442,701.22 is: 611,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,854.77 : 721,762.88 = 442,701.22 : x
  2. Step 2: Convert to fraction form
    522,854.77/721,762.88 = 442,701.22/x
  3. Step 3: Cross multiply
    522,854.77x = 721,762.88 × 442,701.22
  4. Step 4: Simplify right side
    522,854.77x = 319,525,307,526.71
  5. Step 5: Solve for x
    x = 319,525,307,526.71/522,854.77
  6. Step 6: Final answer
    x = 611,116.75

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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.