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Finding the Fourth Proportional to 317,935.98, 478,040.40 and 293,281.20

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Solution

The fourth proportional to 317,935.98, 478,040.40 and 293,281.20 is: 440,970.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,935.98 : 478,040.40 = 293,281.20 : x
  2. Step 2: Convert to fraction form
    317,935.98/478,040.40 = 293,281.20/x
  3. Step 3: Cross multiply
    317,935.98x = 478,040.40 × 293,281.20
  4. Step 4: Simplify right side
    317,935.98x = 140,200,262,160.48
  5. Step 5: Solve for x
    x = 140,200,262,160.48/317,935.98
  6. Step 6: Final answer
    x = 440,970.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.