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Finding the Fourth Proportional to 710,248.56, 980,172.12 and 408,442.56

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Solution

The fourth proportional to 710,248.56, 980,172.12 and 408,442.56 is: 563,667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,248.56 : 980,172.12 = 408,442.56 : x
  2. Step 2: Convert to fraction form
    710,248.56/980,172.12 = 408,442.56/x
  3. Step 3: Cross multiply
    710,248.56x = 980,172.12 × 408,442.56
  4. Step 4: Simplify right side
    710,248.56x = 400,344,009,933.43
  5. Step 5: Solve for x
    x = 400,344,009,933.43/710,248.56
  6. Step 6: Final answer
    x = 563,667.47

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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.