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Finding the Fourth Proportional to 559,407.36, 772,002 and 317,683.20

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Solution

The fourth proportional to 559,407.36, 772,002 and 317,683.20 is: 438,414.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,407.36 : 772,002 = 317,683.20 : x
  2. Step 2: Convert to fraction form
    559,407.36/772,002 = 317,683.20/x
  3. Step 3: Cross multiply
    559,407.36x = 772,002 × 317,683.20
  4. Step 4: Simplify right side
    559,407.36x = 245,252,065,766.40
  5. Step 5: Solve for x
    x = 245,252,065,766.40/559,407.36
  6. Step 6: Final answer
    x = 438,414.08

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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.